Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 14 of 14 for “"Interacting Particle Systems"”.
-
STRONGLY CORRELATED INTERACTING PARTICLE SYSTEMS AND THEIR APPLICATIONS
Strongly correlated interacting particle systems are probabilistic models that describe collections of particles whose behaviors are mutually dependent, typically due to repulsive or attractive forces. These models have long been central to statistical physics, where they are used to describe …
-
Quantitative studies and Hydrodynamical limits for interacting particle systems
… study of microscopic non-equilibrium systems that were first introduced in order to derive macroscopic physical laws such as Fourier's law. In particular the main objective is to determine the scaling of the spectral gap, i.e. the relaxation rate, in terms of the number of the …
-
Non-Equilibrium Pattern Formation in Multi-Species Interacting Particle Systems
Non-equilibrium systems can form complex patterns in their steady states. Examples are systems consisting of self-propelled particles or systems consisting of particles driven away from equilibrium by external energy sources. In steady states, the interacting particles spontaneously organise into …
-
Probabilistic Models For Population Dynamics
Two interacting particle systems that serve as probabilistic models for population dynamics are studied in this work. The quadratic contact process is a stochastic spatial model for a population in which each individual has two parents and the dynamics are governed by random birth and death rates …
-
Large Deviations and Higher Order Fluctuation Expansions for Conservative Stochastic PDEs
… of fluctuating hydrodynamic equations and interacting particle systems. Moreover, we provide relationships between probabilistic phenomena and the regularity features of deterministic or stochastic partial differential equations.
-
Applications of Spatial Models to Ecology and Social Systems
<p>Interacting particle systems have been applied to model the spread of infectious diseases and opinions, interactions between competing species, and evolution of forest landscapes. In this thesis, we study three spatial models arising from from ecology and social sciences. First, in a model …
-
Stochastic Dynamics on Integrable Lattice Models
… introduced probability measure on tuples of interacting dimer configurations. Exact sampling is extraordinarily useful for the discovery and numerical investigation of asymptotic phenomena in new models. In Chapter 5, we utilize local moves for a different purpose; we construct deterministic …
-
Optimization in the space of probability distributions with applications in statistics
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-08-01
-
Μοντέλα ψηφοφόρων με παράμετρο εμπιστοσύνης
Με την βοήθεια τεχνικών για συστήματα αλληλεπιδρώντων σωματιδίων, σκιαγραφήθηκαν και αποδείχθηκαν θεωρήματα για μοντέλα γνώμης και πολιτιστικής δυναμικής. Τα χωρικά αυτά στοχαστικά μοντέλα εξετάζονται ως γενικεύσεις με μια παράμετρο εμπιστοσύνης ε του γνωστού μοντέλου ψηφοφόρου. Το κεντρικό ερώτημα …
-
Majority vote process on general sructures
… vote process (MVP) was one of the earliest interacting particle systems (IPS) to be explored, but little progress has been made except on Z and the d-ary regular trees Td, with d ≥ 5. This thesis considers the majority vote process defined on more general structures (S, N ), where S denotes …
-
Controlled particle systems for nonlinear filtering and global optimization
… the development and applications of controlled interacting particle systems for nonlinear filtering and global optimization problems. These problems are important in a number of engineering domains. In nonlinear filtering, there is a growing interest to develop geometric approaches for systems …
-
Kac's process and some probabilistic aspects of the Boltzmann equation
We consider a family of stochastic interacting particle systems introduced by Kac as a model for a spatially homogeneous gas undergoing elastic collisions, corresponding to the spatially homogeneous Boltzmann equation. We consider Kac's problem of showing propagation of chaos - that if the …