Szemináriumok
Asymptotic properties of mean field coupled maps
Level set percolation for Gaussian fields
A duality theorem for infinity LPs - an application in game theory
Application of quantum-graph theory to the quantum mechanics of extremely floppy molecules
Evolutionary algorithms
In my talk I'm going to present a quite efficient tool for optimization and constraint satisfaction problems. These methods are called evolutionary or genetic algorithms since their basic concepts mimic the evolution of species. These algorithms were first used to solve discrete problems like scheduling. Later the modified version proved efficient for a class continuous problems, where gradient method and its variants fail either because the objective function isn't differentiable, or the function has many local optima. An example for a specific continuous problem will be presented.
Projektív-metrikus Röntgen-transzformációk azonosítása
Hosszú lépéses megengedett prediktor-korrektor belsőpontos algoritmus szimmetrikus optimalizálásra
Reachability analysis of discrete state reaction networks with conservation laws
Multiple solutions of nonlinear partial functional differential equations
We shall consider weak solutions of nonlinear elliptic boundary value problems and initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms. We shall prove theorems on the number of solutions and find multiple solutions. These statements are based on arguments for fixed points of some real functions and operators, respectively, and existence-uniqueness theorems on partial differential equations (without functional terms).

