The results reported in this thesis contribute to the understanding of disordered systems, to mesoscopic physics on the one hand, and to the physics of spin glasses on the other hand. The first part of this thesis studies numerically coherent electronic transport in a non magnetic metal accurately doped with frozen magnetic impurities (a low temperature spin glass). Thanks to a recursive code that calculates the two terminal conductance of the system, we study in detail the metallic regime of conduction (large conductance) as well as the insulating regime (small conductance). In both regimes, we highlight a universal behavior of the system. Moreover, a study of correlations between the conductance of different spin configurations of impurities allows us to link these correlations with correlations between spin configurations. This study opens the route for the first experimental determination of the overlap via transport measurements. A second part of this thesis deals with the study of the mean field Sherrington-Kirkpatrick model, which describes the low temperature phase of an Ising spin glass. We are interested here in the generalization of this model to quantum spins (i.e including the possibility to flip by quantum tunneling) of this classical model that was well studied during the past thirty years. We deduce analytically motion equations at the semi-classical level, for which the influence of quantum tunneling is weak, and we compare them with the classical case. We finally solve numerically these equations using a pseudo-spectral method.

The main motivation behind writing this thesis was to construct numerical methods to approximate solutions to differential equations driven by rough paths, where the solution is considered in the rough path-sense. Rough paths of inhomogeneous degree of smoothness as driving noise are considered. We also aimed to find applications of these numerical methods to stochastic differential equations. After sketching the core ideas of the Rough Paths Theory in Chapter 1, the versions of the core theorems corresponding to the inhomogeneous degree of smoothness case are stated and proved in Chapter 2 along with some auxiliary claims on the continuity of the solution in a certain sense, including an RDE-version of Gronwall's lemma. In Chapter 3, numerical schemes for approximating solutions to differential equations driven by rough paths of inhomogeneous degree of smoothness are constructed. We start with setting up some principles of approximations. Then a general class of local approximations is introduced. This class is used to construct global approximations by pasting together the local ones. A general sufficient condition on the local approximations implying global convergence is given and proved. The next step is to construct particular local approximations in finite dimensions based on solutions to ordinary differential equations derived locally and satisfying the sufficient condition for global convergence. These local approximations require strong conditions on the one-form defining the rough differential equation. Finally, we show that when the local ODE-based schemes are applied in combination with rough polynomial approximations, the conditions on the one-form can be weakened. In Chapter 4, the results of Gyurko & Lyons (2010) on path-wise approximation of solutions to stochastic differential equations are recalled and extended to the truncated signature level of the solution. Furthermore, some practical considerations related to the implementation of high order schemes are described. The effectiveness of the derived schemes is demonstrated on numerical examples. In Chapter 5, the background theory of the Kusuoka-Lyons-Victoir (KLV) family of weak approximations is recalled and linked to the results of Chapter 4. We highlight how the different versions of the KLV family are related. Finally, a numerical evaluation of the autonomous ODE-based versions of the family is carried out, focusing on SDEs in dimensions up to 4, using cubature formulas of different degrees and several high order numerical ODE solvers. We demonstrate the effectiveness and the occasional non-effectiveness of the numerical approximations in cases when the KLV family is used in its original version and also when used in combination with partial sampling methods (Monte-Carlo, TBBA) and Romberg extrapolation.

Ce mémoire présente l’application de la méthode de décomposition en termes de diagrammes aux désintégrations de mésons B vers trois mésons de type pseudos- calaire ne comportant pas de quarks charmés. La décomposition diagrammatique des désintégrations de types B → Kππ, B → KKK ̄, B → KK ̄π et B → πππ est effectuée de façon systématique. Il est démontré que lorsque l’on néglige les dia- grammes d’échanges et d’annihilations, dont les contributions sont estimées être petites, de nouvelles relations apparaissent entre les amplitudes. Ces relations sont de nouveaux tests du modèle standard qui ne peuvent être obtenus que par la méthode diagrammatique. Lorsque les données nécessaires sont disponibles, nous vérifions ces relations et obtenons un bon accord avec les données expérimentales. Nous démontrons également qu’il est possible d’utiliser le secteur B → Kππ pour mesurer la phase faible γ avec une incertitude théorique que nous estimons être de l’ordre de 5%. Les autres secteurs de désintégrations ne permettent d’extraire des phases faibles que si l’on invoque des approximations de précisions inconnues. / This Master’s thesis presents the application of the method of decomposition in terms of diagrams to the charmless decays of B mesons to three pseudoscalar particles. We systematically apply the diagrammatic method to the decays B → Kππ, B → KKK ̄, B → KK ̄π and B → πππ. It is shown that when we neglect exchange and annihilation diagrams, whose contributions have been estimated to be small, new relations appear between the decay amplitudes. These relations constitute new tests of the standard model that can only be obtained through the diagrammatic method. When the necessary data is available, we verify these relations and obtain a good agreement with the experimental results. We also show that it is possible use observables in the B → Kππ sector to measure the weak phase γ with a theoretical uncertainty of the order of 5%. Other decay sectors can only allow the extraction of weak phases through the use of approximations of unknown precision.

Ma thèse est composée de trois essais sur l'inférence par le bootstrap à la fois dans les modèles de données de panel et les modèles à grands nombres de variables instrumentales #VI# dont un grand nombre peut être faible. La théorie asymptotique n'étant pas toujours une bonne approximation de la distribution d'échantillonnage des estimateurs et statistiques de tests, je considère le bootstrap comme une alternative. Ces essais tentent d'étudier la validité asymptotique des procédures bootstrap existantes et quand invalides, proposent de nouvelles méthodes bootstrap valides. Le premier chapitre #co-écrit avec Sílvia Gonçalves# étudie la validité du bootstrap pour l'inférence dans un modèle de panel de données linéaire, dynamique et stationnaire à effets fixes. Nous considérons trois méthodes bootstrap: le recursive-design bootstrap, le fixed-design bootstrap et le pairs bootstrap. Ces méthodes sont des généralisations naturelles au contexte des panels des méthodes bootstrap considérées par Gonçalves et Kilian #2004# dans les modèles autorégressifs en séries temporelles. Nous montrons que l'estimateur MCO obtenu par le recursive-design bootstrap contient un terme intégré qui imite le biais de l'estimateur original. Ceci est en contraste avec le fixed-design bootstrap et le pairs bootstrap dont les distributions sont incorrectement centrées à zéro. Cependant, le recursive-design bootstrap et le pairs bootstrap sont asymptotiquement valides quand ils sont appliqués à l'estimateur corrigé du biais, contrairement au fixed-design bootstrap. Dans les simulations, le recursive-design bootstrap est la méthode qui produit les meilleurs résultats. Le deuxième chapitre étend les résultats du pairs bootstrap aux modèles de panel non linéaires dynamiques avec des effets fixes. Ces modèles sont souvent estimés par l'estimateur du maximum de vraisemblance #EMV# qui souffre également d'un biais. Récemment, Dhaene et Johmans #2014# ont proposé la méthode d'estimation split-jackknife. Bien que ces estimateurs ont des approximations asymptotiques normales centrées sur le vrai paramètre, de sérieuses distorsions demeurent à échantillons finis. Dhaene et Johmans #2014# ont proposé le pairs bootstrap comme alternative dans ce contexte sans aucune justification théorique. Pour combler cette lacune, je montre que cette méthode est asymptotiquement valide lorsqu'elle est utilisée pour estimer la distribution de l'estimateur split-jackknife bien qu'incapable d'estimer la distribution de l'EMV. Des simulations Monte Carlo montrent que les intervalles de confiance bootstrap basés sur l'estimateur split-jackknife aident grandement à réduire les distorsions liées à l'approximation normale en échantillons finis. En outre, j'applique cette méthode bootstrap à un modèle de participation des femmes au marché du travail pour construire des intervalles de confiance valides. Dans le dernier chapitre #co-écrit avec Wenjie Wang#, nous étudions la validité asymptotique des procédures bootstrap pour les modèles à grands nombres de variables instrumentales #VI# dont un grand nombre peu être faible. Nous montrons analytiquement qu'un bootstrap standard basé sur les résidus et le bootstrap restreint et efficace #RE# de Davidson et MacKinnon #2008, 2010, 2014# ne peuvent pas estimer la distribution limite de l'estimateur du maximum de vraisemblance à information limitée #EMVIL#. La raison principale est qu'ils ne parviennent pas à bien imiter le paramètre qui caractérise l'intensité de l'identification dans l'échantillon. Par conséquent, nous proposons une méthode bootstrap modifiée qui estime de facon convergente cette distribution limite. Nos simulations montrent que la méthode bootstrap modifiée réduit considérablement les distorsions des tests asymptotiques de type Wald #$t$# dans les échantillons finis, en particulier lorsque le degré d'endogénéité est élevé. / My dissertation consists of three essays on bootstrap inference in both large panel data models and instrumental variable (IV) models with many instruments and possibly, many weak instruments. Since the asymptotic theory is often not a good approximation to the sampling distribution of test statistics and estimators, I consider the bootstrap as an alternative. These essays try to study the asymptotic validity of existing bootstrap procedures and when they are invalid, to propose new valid bootstrap methods. The first chapter (co-authored with Sílvia Gonçalves) studies the validity of the bootstrap for inference on a stationary linear dynamic panel data model with individual fixed effects. We consider three bootstrap methods: the recursive-design wild bootstrap, the fixed-design wild bootstrap and the pairs bootstrap. These methods are natural generalizations to the panel context of the bootstrap methods considered by \citeasnoun{GK} in pure time series autoregressive models. We show that the recursive-design wild bootstrap fixed effects OLS estimator contains a built-in bias correction term that mimics the incidental parameter bias. This is in contrast with the fixed-design wild bootstrap and the pairs bootstrap whose distributions are incorrectly centered at zero. As it turns out, both the recursive-design and the pairs bootstrap are asymptotically valid when applied to the bias-corrected estimator, but the fixed-design bootstrap is not. In the simulations, the recursive-design bootstrap is the method that does best overall. The second chapter extends our pairwise bootstrap results to dynamic nonlinear panel data models with fixed effects. These models are often estimated with the Maximum Likelihood Estimator (MLE) which also suffers from an incidental parameter bias. Recently, \citeasnoun{DhaeneJochmans} have proposed the split-jackknife estimation method. Although these estimators have asymptotic normal approximations that are centered at the true parameter, important size distortions remain in finite samples. \citeasnoun{DhaeneJochmans} have proposed the pairs bootstrap as an alternative in this context without a theoretical justification. To fill this gap, I show that this method is asymptotically valid when used to estimate the distribution of the half-panel jackknife estimator although it does not consistently estimate the distribution of the MLE. A Monte Carlo experiment shows that bootstrap-based confidence intervals that rely on the half-panel jackknife estimator greatly help to reduce the distortions associated to the normal approximation in finite samples. In addition, I apply this bootstrap method to a canonical model of female-labor participation to construct valid confidence intervals. In the last chapter (co-authored with Wenjie Wang), we study the asymptotic validity of bootstrap procedures for instrumental variable (IV) models with many weak instruments. We show analytically that a standard residual-based bootstrap and the restricted efficient (RE) bootstrap of Davidson and MacKinnon (2008, 2010, 2014) cannot consistently estimate the limiting distribution of the LIML estimator. The foremost reason is that they fail to adequately mimic the identification strength in the sample. Therefore, we propose a modified bootstrap procedure which consistently estimates this limiting distribution. Our simulations show that the modified bootstrap procedure greatly reduces the distortions associated to asymptotic Wald ($t$) tests in finite samples, especially when the degree of endogeneity is high.

Les réseaux organiques covalents (COFs) sont des réseaux bidimensionnels et tridimensionnels assemblés seulement par des atomes légers, c’est-à-dire de la première et deuxième rangée du tableau périodique. Ceux-ci ont montré des propriétés de porosité pouvant être exploitées dans le stockage, dans la catalyse et dans la séparation moléculaire. La plupart de ces matériaux ont été obtenus par une réaction finale de condensation, ce qui nuit à leurs cristallisations, donc à l’homogénéité et à la caractérisation détaillée de ces matériaux. Les p-xylylènes de Thiele et Tschitschibabin sont des molécules qui ont suscité l’intérêt pour leurs structures et leurs propriétés magnétiques. Subséquemment, Wittig a démontré que le remplacement des fragments diphénylméthylène par des fragments fluorénylidène sur le p-xylylène de Thiele donne des molécules pouvant s’oligomériser pour former un tétramère. Dans notre étude, nous avons examiné l’assemblage de dérivés fluorénylidène dans le but d’obtenir un COF. Tout d’abord, un dérivé linéaire similaire à ce que Wittig a obtenu a été synthétisé afin de vérifier l’assemblage à partir d’un cœur spirobifluorényle. Ces molécules se sont assemblées en tétramère, comme prévu, et en hexamère. Ces deux résultats ont pu être rationalisés par une étude à l’état solide par diffraction des rayons-X. L’empilement tridimensionnel a également été étudié pour ces deux molécules. Subséquemment, des dérivés tétraédriques ont été synthétisés afin d’étudier leurs assemblages. Un premier dérivé est resté sous sa forme quinoïdale et ne s’est pas assemblé, alors qu’un second dérivé a mené à un dimère partiellement assemblé. La structure de ce dernier suggère la formation d’un polymère linéaire pour ce composé dans le cas où il aurait été possible de l’assembler complètement. / Covalent organic frameworks (COFs) are ordered two-dimensional and three-dimensional frameworks assembled only from light atoms in the first and second rows of the periodic table. These frameworks have shown properties that make them potentially useful in the storage of molecular guests, in catalysis and in separation. COFs are typically obtained by a final condensation reaction, which makes their crystallization difficult and leads to materials that are inhomogeneous and impossible to characterize in detail. The p-xylylenes of Thiele and Tschitschibabin are molecules that have attracted interest because of their structures and magnetic properties. Subsequently, Wittig demonstrated that replacing diphenylmethylene fragments in these structures by fluorenylidene units allowed their oligomerisation to form tetrameric structures. In our study, we have investigated the assembly of fluorenylidene derivatives to obtain COFs. First, a linear derivative similar to that obtained by Wittig was prepared to verify the feasibility of assembly from a spirobifluorenyl core. These compounds were found to oligomerise to form a tetramer, as expected as well as a hexamer. Both results have been rationalized by a study of the crystal structures by X-ray diffraction. The three-dimensional packing has also been analyzed. Subsequently, tetrahedral derivatives were synthesized to study the possibility of analogous assembly leading to COFs. A first derivative was found to remain in its quinoidal form rather than oligomerise and a second derivative resulted in a partially assembled dimer. The structure of the latter suggests that a linear polymer could be formed by a further reaction.

Once a year for over forty years public relations’ practitioners in Sweden gathers, the political week in Almedalen, in the town of Visby. There they exchange knowledge and experience on all types of subjects using different and common communication models whether they are aware of them or not. The research on communication models is sparse, with one exception: Grunig’s model. Both practitioners and researches believe them to be important, even strategic. But too little knowledge about the models as such negatively impacts the understanding of public relations’ activities. It also contributes to the view that public relations is frittered. The thesis studies and analyses communication models of public relations. Models have been created by theorists and practitioners to describe the phenomenon, to understand communication as such and to facilitate communication between humans. The thesis addresses basic questions such as which models there are, where they stem from, who the originators were and the characteristics of each respective model. The basis of the study is comprehensive Anglo-American literature. All in all, over twenty different models have been analyzed in three different ways, i.e. the structure of a model, its historical deposits (sediment) and the application of the model. The result is manifold, since many characteristics form ten attributes and three families of models (a reduction). The characteristics can be seen as the models’ building blocks, e.g. the direction of the communication, the number of contacts and synchronism. Three model families are built on three differentiating characteristics, and the families are named correspondingly. Directional model (Riktningsmodellen), the Co-orientational model (Saminriktningsmodellen) and the Connectivity model (Konnektivitetsmodellen). The classification is of course not set in stone. It should be regarded as a first step to reduce the number of models in use and concentrate on the important characteristics of the models that help public relations researchers and professionals to solve problems and theorists to explain, foresee or guide to better public relations. Finally, five areas of future research are presented: a multinational study of models, a study of practitioners’ model use, a deeper history study according the concept of sediment, a notational system for models and, last but not least, a development of the Connectivity model. The last subject is the one that once inspired me to write a thesis. / <p>QC 20170426</p>

Motivated by experiments on titanium alloys of Petrinic et al. (2006), which show the formation of cracks through the growth and coalescence of voids in ductile fracture, we consider the problem of formulating a variational model in nonlinear elasticity compatible both with cavitation and the appearance of discontinuities across two-dimensional surfaces. As in the model for cavitation of Müller and Spector (1995) we address this problem, which is connected to the sequential weak continuity of the determinant of the deformation gradient in spaces of functions having low regularity, by means of adding an appropriate surface energy term to the elastic energy. Based upon considerations of invertibility, we derive an expression for the surface energy that admits a physical and a geometrical interpretation, and that allows for the formulation of a model with better analytical properties. We obtain, in particular, important regularity results for the inverses of deformations, as well as the weak continuity of the determinants and the existence of minimizers. We show, further, that the creation of surface can be modeled by carefully analyzing the jump set of the inverses, and we point out some connections between the analysis of cavitation and fracture, the theory of SBV functions, and the theory of Cartesian currents of Giaquinta, Modica, and Soucek. In addition to the above, we extend previous work of Sivaloganathan, Spector and Tilakraj (2006) on the approximation of minimizers for the problem of cavitation with a constraint in the number of flaw points, and present some numerical results for this problem.

Le sujet principal de ce mémoire est l'étude de la distribution asymptotique de la fonction f_m qui compte le nombre de diviseurs premiers distincts parmi les nombres premiers $p_1,...,p_m$. Au premier chapitre, nous présentons les sept résultats qui seront démontrés au chapitre 4. Parmi ceux-ci figurent l'analogue du théorème d'Erdos-Kac et un résultat sur les grandes déviations. Au second chapitre, nous définissons les espaces de probabilités qui serviront à calculer les probabilités asymptotiques des événements considérés, et éventuellement à calculer les densités qui leur correspondent. Le troisième chapitre est la partie centrale du mémoire. On y définit la promenade aléatoire qui, une fois normalisée, convergera vers le mouvement brownien. De là, découleront les résultats qui formeront la base des démonstrations de ceux chapitre 1. / The main topic of this masters thesis is the study of the asymptotic distribution of the fonction f_m which counts the number of distinct prime divisors among the first $m$ prime numbers, i.e. $p_1,...,p_m$. The first chapter provides the seven main results which will later on be proved in chapter 4. Among these we find the analogue of the Erdos-Kac central limit theorem and a result on large deviations. In the following chapter, we define several probability spaces on which we will calculate asymptotic probabilities of specific events. These will become necessary for calculating their corresponding densities. The third chapter is the main part of this masters thesis. In it, we introduce a random walk which, when suitably normalized, will converge to the Brownian motion. We will then obtain results which will form the basis of the proofs of those of chapiter 1.

Few areas of research in the finance literature have received greater attention than the efficient market hypothesis. Much of the research has been directed toward the securities market while very little research has been done in the real estate markets. The existing research on real estate market efficiency has been either descriptive or illustrative with very little empirical testing being performed. The major reason for the lack of empirical testing has been the inability to develop an adequate data base. The results of the empirical work that has been done do not support the widely held belief that real estate markets are inefficient. This study, using the autoregressive-integrative-moving average (ARIMA) time series analysis technique, tests the weak-form efficiency of the Dallas-Fort Worth office properties real estate market. According to the weak-form efficient market hypothesis, all price information should be capitalized into current real estate prices and not provide the basis for earning abnormal returns in trading. Price data formed from office building sales dating from January, 1979 to January, 1985 are used to test the market. The data was gathered from the files of several professional appraisal firms located in the Dallas-Fort Worth area. The transaction information includes (1) transaction price; (2) location of the property; (3) net rentable area; (4) gross income multiplier (GIM); (5) net income multiplier (NIM); and (6) net operating income. The results of the study indicate a lack of significant autocorrelation. This suggests that the Dallas-Fort Worth office properties real estate market is weak-form efficient. As further evidence of weak-form market efficiency, ARIMA models are estimated to predict future sales prices but they are unable to outperform a simple mean series forecast. The results indicate that a change in traditional real estate theory concerning market efficiency may be warranted.

La chimie supramoléculaire est un domaine qui suscite depuis quelques années un intérêt grandissant. Le domaine s’appuie sur les interactions intermoléculaires de façon à contrôler l’organisation moléculaire et ainsi moduler les propriétés des matériaux. La sélection et le positionnement adéquat de groupes fonctionnels, utilisés en combinaison avec un squelette moléculaire particulier, permet d’anticiper la façon dont une molécule interagira avec les molécules avoisinantes. Cette stratégie de construction, nommé tectonique moléculaire, fait appel à la conception de molécules appelées tectons (du mot grec signifiant bâtisseur) pouvant s’orienter de façon prévisible par le biais d’interactions faibles et ainsi générer des architectures supramoléculaires inédites. Les tectons utilisent les forces intermoléculaires mises à leur disposition pour s’orienter de façon prédéterminée et ainsi contrecarrer la tendance à s’empiler de la manière la plus compacte possible. Pour ce faire, les tectons sont munies de diverses groupes fonctionnels, aussi appelés groupes de reconnaissance, qui agiront comme guide lors de l’assemblage moléculaire. Le choix du squelette moléculaire du tecton revêt une importance capitale puisqu’il doit permettre une orientation optimale des groupes de reconnaissance. La stratégie de la tectonique moléculaire, utilisée conjointement avec la cristallisation, ouvre la porte à un domaine de la chimie supramoléculaire appelé le génie cristallin. Le génie cristallin permet l’obtention de réseaux cristallins poreux soutenus par des interactions faibles, pouvant accueillir des molécules invitées. Bien que toutes les interactions faibles peuvent être mises à contribution, le pont hydrogène est l’interaction prédominante en ce qui a trait aux réseaux cristallins supramoléculaires. La force, la directionnalité ainsi que la versatilité font du pont hydrogène l’interaction qui, à ce jour, a eu le plus grand impact dans le domaine du génie cristallin. Un des groupements de reconnaissance particulièrement intéressants en génie cristallin, faisant appel aux ponts hydrogène et offrant plusieurs motifs d’interaction, est l’unité 2,4-diamino-1,3,5-triazinyle. L’utilisation de ce groupement de reconnaissance conjointement avec un cœur moléculaire en forme de croix d’Onsager, qui défavorise l’empilement compact, permet l’obtention de valeurs de porosités élevées, comme c’est le cas pour le 2,2’,7,7’-tétrakis(2,4-diamino-1,3,5-triazin-6-yl)-9,9’-spirobi[9H-fluorène]. Nous présentons ici une extension du travail effectué sur les cœurs spirobifluorényles en décrivant la synthèse et l’analyse structurale de molécules avec une unité dispirofluorène-indénofluorényle comme cœur moléculaire. Ce cœur moléculaire exhibe les mêmes caractéristiques structurales que le spirobifluorène, soit une topologie rigide en forme de croix d’Onsager défavorisant l’empilement compact. Nous avons combiné les cœurs dispirofluorène-indénofluorényles avec différents groupements de reconnaissance de façon à étudier l’influence de l’élongation du cœur moléculaire sur le réseau cristallin, en particulier sur le volume accessible aux molécules invitées. / Supramolecular chemistry is a field of rapidly increasing interest in recent years. The field uses weak intermolecular interactions to control molecular organisation and therefore modulate the properties of materials. Adequate selection and positioning of functional groups, combined with a carefully selected molecular core to which the groups are attached, allows for the creation of molecules with a high degree of predictability in the way they will interact with their neighbours. This approach to the design and construction of materials, called molecular tectonics, is based on subunits called tectons (derived from the Greek word for builder), which use weak interactions to organise themselves in a predictable manner and generate novel supramolecular architectures. In favorable cases, the interactions can counter the general tendency shown by molecules to pack together in a compact manner. Instead, specific functional groups direct molecular recognition and help guide the process of auto-assembly. At the same time, the molecular core of the tecton is also of capital importance as it must allow an optimal orientation of the recognition groups. The molecular tectonics approach, used jointly with crystallisation, opens the door to new opportunities in crystal engineering. For example, crystal engineering now allows the logical creation of porous crystalline networks that can accept guest molecules. Although any type of weak interaction can hold such networks together, the hydrogen bond is favored for constructing porous supramolecular networks. The strength, directionality and versatility of the hydrogen bond accounts for its special importance in the domain of crystal engineering. A recognition group of particular interest in crystal engineering is the 2,4-diamino-1,3,5-triazinyl unit. This unit forms hydrogen bonds according to various standard motifs. The use of this recognition group, joined to molecular cores specifically designed to inhibit close packing, such as Onsager crosses, allows for the construction of supramolecular networks with high porosity, as shown by the behaviour of 2,2’,7,7’-tetrakis(2,4-diamino-1,3,5-triazin-6-yl)-9,9’-spirobi[9H-fluorene]. We present here an extension of previous studies of spirobifluorenyl cores by describing the synthesis and structural analysis of molecules with related dispirofluorene-indenofluorenyl cores. This new core offers the same characteristics as the spirobifluorenyl core, namely rigid topology and an Onsager cross molecular shape which are known to inhibit close packing. We have combined this core with a variety of recognition groups to verify the influence of the molecular core on the crystalline networks generated, particularly on the volume accessible to guest molecules.