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math-ph2026
Finite lattice kinetic equations for bosons, fermions, and discrete NLS
Jani Lukkarinen, Sakari Pirnes, Aleksis Vuoksenmaa
We introduce and study finite lattice kinetic equations for bosons, fermions, and discrete NLS. For each model this closed evolution equation provides an approximate description fo…
math-ph2024
Generation of chaos in the cumulant hierarchy of the stochastic Kac model
Jani Lukkarinen, Aleksis Vuoksenmaa
We study the time-evolution of cumulants of velocities and kinetic energies in the stochastic Kac model for velocity exchange of particles, with the aim of quantifying how fast…
math-ph2023
Dynamics of the infinite discrete nonlinear Schrödinger equation
Aleksis Vuoksenmaa
The discrete nonlinear Schrödinger equation on \(\Z^d\), \(d \geq 1\) is an example of a dispersive nonlinear wave system. Being a Hamiltonian system that conserves also the \(\ell…