Promotor: W.Th.F. den Hollander

Promotores: W. Th. F. den Hollander, M.O. Heydenreich

Promotor: Promotor: W.Th.F. den Hollander, Co-promotor: V. Sidoravicius.

This thesis investigates opinion dynamics on random graphs through the lens of the voter model, a classical interacting particle system used to describe how consensus emerges in networks.

The thesis mainly contributes to the characterization of Majorana fermions as they appear in the Condensed Matter context.

The main topic of this PhD thesis is the Arakelov ray class group of a number field, an algebraic object that contains both the ideal class group structure and the unit group structure.

This thesis is divided into two parts. In Part I we study metastability properties of queue-based random-access protocols for wireless networks. The network is modeledas a bipartite graph whose edges represent interference constraints. In Part II we study spectra of inhomogeneous Erdős-Rényi random…

In cryptography, generic transformations are often used to strengthen simpler but weaker schemes, into more sophisticated and stronger ones.

This dissertation consists of two parts, each of which considers a different research area related to random interval maps. In the first part we are interested in random interval maps that are critically intermittent.

The aim of this thesis is to present novel techniques for proving cryptographic schemes secure against quantum adversaries. Most results are within the context of an idealized model called the ‘quantum random-oracle model’.

This dissertation presents four separate chapters, all striving towards the same goal: to understand dynamic phenomena occurring in dynamic networks and to explore the emergence of equilibrium in a broad sense.

This dissertation consists of two parts, with the common theme

The parabolic Anderson model (PAM), which is the Cauchy problem for the heat equation with random potential. The PAM is a mathematical model that describes how mass (i.e. matter or energy) flows in a medium in the presence of a field of sources and sinks.

Mathematician Oliver Nagy still vividly remembers the first time he learned about a random walk. ‘The lecturer told us to imagine a company of drunken students who wander in the streets. At each intersection, they would spin one of them around and all would go in the direction where he or she came to…

The transition period in which men become fathers might provide an important window of opportunity for parenting interventions that may produce long-term positive effects on paternal care and, consequently, child development. Existing prenatal programs traditionally focus on maternal and infant health…

This thesis explores Breaking of Ensemble Equivalence (BEE) in random graph models by examining the spectral properties of adjacency matrices. The goal is to identify spectral characteristics that differentiate random graph ensembles, enhancing the understanding of complex network structures and beh…

Promotor: V. Vitelli, Co-promotor: J. Paulose

This thesis explores Breaking of Ensemble Equivalence (BEE) in random graph models by examining the spectral properties of adjacency matrices. The goal is to identify spectral characteristics that differentiate random graph ensembles, enhancing the understanding of complex network structures and beh…

Plants and their pollinators form complex interaction networks. Within these networks, species differ widely in the number of species they interact with.

We found that, next to the effectiveness of the intervention, it’s also very likely that the intervention is cost-effective compared to attention only.

In this thesis,

Promoter: J.G.E.M.Fraaije, Co-promotor: A. Kros

Promotor: C.W.J. Beenakker, Co-promotor: M.T. Wimmer

Promotor: Richard D. Gill

From 2 to 6 June 2014, Prof. dr. Frank den Hollander has provided 2 lectures during the workshop ‘Recent Models in Random Media’ at the Centre International de Rencontres Mathematique in Marseille (CIRM). This center facilitates workshops for mathematicians throughout the year.

The aim of this thesis was to examine what teachers want to learn themselves. The main research question was: what, how and why teachers want to learn? And does this depend on their years of teaching experience and the school at which they work?

The information below concerns courses that our group teaches in Leiden. 

Research in the POD-group addresses all features of random phenomena – modelling, structuring, analysis, control, optimisation – and covers both fundamental and applied aspects.

In meta-analysis, heterogeneity often exists between studies. In such cases, it is essential to investigate the sources of heterogeneity and understand the relationship between effect size and study characteristics (i.e., moderators).

Effectiveness of an early intervention program for anxiety-prone toddlers in the Netherlands

Promotor: Prof.dr. F. den Hollander

Promotor: Prof.dr. W.Th.F. den Hollander, Co-promotor: R. Fernandez

Promotor: Ronald Cramer, Co-promotor: Serge Fehr

If you are interested in studying stochastics, the following information will help you to choose the right path.

What is the effectiveness of (booklet or online) self-help programmes for people with somatic stressors and depressive symptoms? What works best for whom? How to improve motivation and adherence?

Master projects are available in

This thesis provides explicit expressions for the density functions of absolutely continuous invariant measures for general families of interval maps, that include random maps and infinite measure transformations, not necessarily number systems.

The research programme Probability Theory focuses on probability theory and on operations research.

New and reemerging infectious diseases call for innovative and efficient control strategies of which fast vaccine design and development represent an important element.

Promotor: H.W. Lenstra

Linda Stuckrath Gottschalk defended her thesis on 6 April 2016.

Dynamical systems describe the evolution of objects in a space over time and may be used to model physical phenomena. Due to this, much research is dedicated to understanding the mathematics of dynamical systems.

LCN2 hosts seminars on the last Friday of each month.

While colloidal aggregates are often undesirable due to their random shapes, we exploit them as a starting point to synthesize patchy particles.