131 zoekresultaten voor “stochastic delay differential equations” in de Publieke website
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A fixed point approach towards stability of delay differential equations with applications to neural networks
Promotor: S.M. Verduyn Lunel, Co-Promotor: O.W. van Gaans
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Long term dynamics of stochastic evolution equations
Promotor: S.M. Verduyn Lunel, Co-promotor: O. van Gaans
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Invariant manifolds and applications for functional differential equations of mixed type
Promotor: S.M. Verduyn Lunel
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Analysis and Stochastics
The research of the Applied Mathematics cluster is concerned with such diverse topics as dynamical systems, representation theory, differential equations and pattern recognition.
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Noisy Patterns: Bridging the gap between stochastics and dynamics
In this thesis, we study travelling waves in stochastic reaction-diffusion equations. We extend techniques from the deterministic theory for travelling waves to apply to the stochastic version, which allows us to compute the stochastic wave speed and shape, and draw conclusions on the stability of the…
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Large Time Behaviour of Neutral Delay Systems
Promotor: S.M. Verduyn Lunel
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Stochastic resetting and hierarchical synchronisation
Stochastic resetting is simple enough to be approached analytically, yet modifies stochastic processes in a non-trivial way.
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Diophantine equations in positive characteristic
In this thesis three different topics in number theory are studied.
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Deterministic equation solving over finite fields
Promotor: H.W. Lenstra
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Blowup in the complex Ginzburg-Landau equation
Promotor: Prof.dr. A. Doelman, Co-promotor: V. Rottschäfer
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Dormancy in stochastic interacting systems
Promotie
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Effective Methods for Diophantine Equations
Promotor: R. Tijdeman
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Stochastic and Deterministic Algorithms for Continuous Black-Box Optimization
Continuous optimization is never easy: the exact solution is always a luxury demand and the theory of it is not always analytical and elegant.
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Tautological differential forms on moduli spaces of curves
In this thesis we study the moduli space of genus g curves, and the differential forms that occur naturally on this moduli space.
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Travelling patterns on Discrete Media
This thesis describes how complex and real-world relevant analytical solutions can be found starting from a simple Nagumo problem posed on one or two-dimensional lattices.
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The stochastic geometry of non-Gaussian fields
Promotor: V. Vitelli, Co-promotor: J. Paulose
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Geometric approach to evolution problems in metric spaces
Promotor: S.M. Verduyn Lunel, Co-promotor: O.W. van Gaans
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Quantum local asymptotic normality and other questions of quantum statistics
Promotor: R. Gill, Co-promotor: P. Massart
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Patterns in natural systems
Promotor: A. Doelman, Co-promotores: P.J.A. van Heijster; A. Zagaris
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Travelling waves on trees and square lattices
In this thesis we study bistable reaction-diffusion equations on lattice domains.
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6 Postdoctoral fellows in Stochastics and Algorithmics (COFUND), for The research project NETWORKS
Wiskunde en Natuurwetenschappen, Mathematisch Instituut (MI)
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The parabolic Anderson model and long-range percolation
Promotor: Prof.dr. F. den Hollander, G.Maillard
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Geometry of Vegetation Pattern
One of the effects of climate change is the phenomenon of desertification, a process that occurs in semi-arid and arid areas and causes land degradation as well as vegetation loss. Due to the lack of resources, vegetation self-organizes to sustain itself by forming large-scale spatial patterns.
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Bayesian Inference for Gaussian Models
This dissertation studies the Asymptotics of Bayesian nonparametric inference for Gaussian linear models.
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A recipe for desert: analysis of an extended Klausmeier model
Promotores: Arjen Doelman, Jens Rademacher, Max Rietkerk
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Modelling the role of cytotoxic T lymphocytes in tumour regression
Immunotherapies for cancer are an emerging class of therapeutic strategies which aim to treat cancer via augmentation of the immune system.
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Computational modeling of cellular dynamics in tumor cell migration
Epithelial-mesenchymal plasticity (EMP) and tumor cell migration play an important role in cancer progression, and an improved understanding of the mechanisms underlying these concepts is essential for developing new targeted approaches.
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Van wijntranen tot wolkentransport: groot wiskundecongres in Leiden
De winnaar van de hoogste wetenschappelijke onderscheiding in de wiskunde, een verklaring waarom wijn traant en nog veel meer wiskundige theorie en toepassing. Van 8 tot en met 12 juli komen 550 wiskundigen samen in het centrum van Leiden om te spreken over differentiaalvergelijkingen.
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Waves and Patterns in Discrete Media: Bridging the Gaps
What happens to electrical waves that have to cross gaps in insulation material around nerves in the human body
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Patterns on Spatially Structured Domains
We consider the propagation of electrical signals through nerve fibres.
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Towards photo-CIDNP MAS NMR as a generally applicable enhancement method
Promotores: Prof.dr. H.J.M. de Groot, Prof.dr. J. Matysik (Universitaet Leipzig)
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Mathilde VerdamFaculteit der Sociale Wetenschappen
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Hydrodynamics and the quantum butterfly effect in Black Holes and large N quantum field theories
Why do black holes emit thermal radiation? And how does a closed quantum system thermalize?
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Yingjie FanWiskunde en Natuurwetenschappen
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Piecewise deterministic Markov processes: an analytic approach
Promotor: S.M. Verduyn Lunel, Co-Promotores: S.C.Hille, O.W. van Gaans
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Publication monograph Frank den Hollander and Anton Bovier
The monograph
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Optimal decision-making under constraints and uncertainty
We present an extensive study of methods for exactly solving stochastic constraint (optimisation) problems (SCPs) in network analysis. These problems are prevalent in science, governance and industry.
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Dynamical Gibbs-non-Gibbs transitions: a study via coupling and large deviations
Promotores: F.H.J. Redig, W.T.F. den Hollander
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Diophantine equations in positive characteristic
Promotie
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Stochastic resetting and hierarchical synchronisation
Promotie
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Models of Nonlinear and Stochastic Astrochemical Kinetics
Promotie
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A functional approach to differential indexing
Promotie
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Scaling Limits in Algebra, Geometry, and Probability
Central Limit Theorem associated to a particular case of ergodic total automorphisms. Finally, Chapter 6 proves that the isoperiodic foliation is connected for a meromorphic differential with three poles on a torus.
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Dynamical Gibbs-non-Gibbs transitions and Brownian percolation
Promotor: Prof.dr. W.Th.F. den Hollander, Co-promotor: R. Fernandez.
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Noisy Patterns: Bridging the gap between stochastics and dynamics
Promotie
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Studies of dust and gas in the interstellar medium of the Milky Way
Promotor: Prof.dr. A.G.G.M. Tielens
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HEPGAME
HEPGAME is a research project that combines the world’s fastest computer algebra system for High Energy Physics equations, FORM, with insights from artificial intelligence. The name combines High Energy Physics and Games.
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Spin dynamics in general relativity
Promotor: J.W. van Holten
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The Robinson congruence in electrodynamics and general relativity
Promotor: Prof.dr. D. Bouwmeester
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Alemtuzumab; the mechanisms of differential sensitivity and resistance
Promotie