WahrscheinlichkeitstheorieHead of Research Unit Prof. Dr.Jiří ČernýOverviewMembersPublicationsProjects & CollaborationsProjects & Collaborations OverviewMembersPublicationsProjects & Collaborations Projects & Collaborations 7 foundShow per page10 10 20 50 Spatial population models with local self-interactions Research Project | 1 Project MembersImported from Grants Tool 4665149 Landscapes of spin glass models Research Project | 2 Project MembersWe explore the Hamiltonians of spin glass models viewed as random landscapes on high dimensional manifolds. Main questions involve the number of their critical points and its asymtotics behaviour when the dimension diverges. Spatial population models with local self-interactions Research Project | 2 Project MembersNo Description available Fronts in branching random walk in random environment Research Project | 2 Project MembersThe goal of the project is to undertand the fluctuations of the front of the branching random walk in random environment, in particular in higher dimensions, and to undertand the connections to other models of interest, like FKPP equation and Parabolic-Anderson model. Critical level-set percolation of the GFF on regular trees Research Project | 2 Project MembersWe study the level-set percolation of the GFF on regular trees in the critical and near-critical regime. Mixing on dynamical random graphs Research Project | 2 Project MembersThe aim of the project is to study the mixing properties of Markov chains on dynamical random graphs, in particular in the situation where there is no time-independent stationary distribution. Critical properties of vacant set of random walk on the configuration model Research Project | 2 Project MembersWe explore percolation properties of the vacant set of random walk and of level sets of Gaussian free field on various graph in the vicinity of the percolation treshhold. The goal is to describe the scaling limit of the largest components of the vacant set as a random metric space constructed similarly as in the Bernoulli percolation case. 1 1 OverviewMembersPublicationsProjects & Collaborations
Projects & Collaborations 7 foundShow per page10 10 20 50 Spatial population models with local self-interactions Research Project | 1 Project MembersImported from Grants Tool 4665149 Landscapes of spin glass models Research Project | 2 Project MembersWe explore the Hamiltonians of spin glass models viewed as random landscapes on high dimensional manifolds. Main questions involve the number of their critical points and its asymtotics behaviour when the dimension diverges. Spatial population models with local self-interactions Research Project | 2 Project MembersNo Description available Fronts in branching random walk in random environment Research Project | 2 Project MembersThe goal of the project is to undertand the fluctuations of the front of the branching random walk in random environment, in particular in higher dimensions, and to undertand the connections to other models of interest, like FKPP equation and Parabolic-Anderson model. Critical level-set percolation of the GFF on regular trees Research Project | 2 Project MembersWe study the level-set percolation of the GFF on regular trees in the critical and near-critical regime. Mixing on dynamical random graphs Research Project | 2 Project MembersThe aim of the project is to study the mixing properties of Markov chains on dynamical random graphs, in particular in the situation where there is no time-independent stationary distribution. Critical properties of vacant set of random walk on the configuration model Research Project | 2 Project MembersWe explore percolation properties of the vacant set of random walk and of level sets of Gaussian free field on various graph in the vicinity of the percolation treshhold. The goal is to describe the scaling limit of the largest components of the vacant set as a random metric space constructed similarly as in the Bernoulli percolation case. 1 1
Spatial population models with local self-interactions Research Project | 1 Project MembersImported from Grants Tool 4665149
Landscapes of spin glass models Research Project | 2 Project MembersWe explore the Hamiltonians of spin glass models viewed as random landscapes on high dimensional manifolds. Main questions involve the number of their critical points and its asymtotics behaviour when the dimension diverges.
Spatial population models with local self-interactions Research Project | 2 Project MembersNo Description available
Fronts in branching random walk in random environment Research Project | 2 Project MembersThe goal of the project is to undertand the fluctuations of the front of the branching random walk in random environment, in particular in higher dimensions, and to undertand the connections to other models of interest, like FKPP equation and Parabolic-Anderson model.
Critical level-set percolation of the GFF on regular trees Research Project | 2 Project MembersWe study the level-set percolation of the GFF on regular trees in the critical and near-critical regime.
Mixing on dynamical random graphs Research Project | 2 Project MembersThe aim of the project is to study the mixing properties of Markov chains on dynamical random graphs, in particular in the situation where there is no time-independent stationary distribution.
Critical properties of vacant set of random walk on the configuration model Research Project | 2 Project MembersWe explore percolation properties of the vacant set of random walk and of level sets of Gaussian free field on various graph in the vicinity of the percolation treshhold. The goal is to describe the scaling limit of the largest components of the vacant set as a random metric space constructed similarly as in the Bernoulli percolation case.
