146 citations · 348 across the 25 of their papers we have counts for
28 papers
Probabilistic representation and limit theorems for particle numbers of quasi-free states
Fanch Coudreuse, Simone Rademacher, Oliver Tse
We study the particle number distribution of locally interacting bosonic quasi- free states, which arise in various areas of mathematical physics. We show that the particle number…
Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
Anastasiia Hraivoronska, André Schlichting, Oliver Tse
In this paper, we explore the convergence of the semi-discrete Scharfetter-Gummel scheme for the aggregation-diffusion equation using a variational approach. Our investigation invo…
Recapture Probability for anti-trapped Rydberg states in optical tweezers
R. J. P. T. de Keijzer, O. Tse, S. J. J. M. F. Kokkelmans
In a neutral atom quantum computer, the qubits are individual neutral atoms trapped in optical tweezers. Excitations to Rydberg states form the basis for the entanglement procedure…
Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits
Alberto Montefusco, Upanshu Sharma, Oliver Tse
We introduce a variational structure for the Fourier-Cattaneo (FC) system which is a second-order hyperbolic system. This variational structure is inspired by the large-deviation r…
Generalized gradient structures for measure-valued population dynamics and their large-population limit
Jasper Hoeksema, Oliver Tse
We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in population dynamics, including variat…
Diffusive limit of random walks on tessellations via generalized gradient flows
Anastasiia Hraivoronska, Oliver Tse
We study asymptotic limits of reversible random walks on tessellations via a variational approach, which relies on a specific generalized-gradient-flow formulation of the correspon…
Pulse based Variational Quantum Optimal Control for hybrid quantum computing
Robert de Keijzer, Oliver Tse, Servaas Kokkelmans
This work studies pulse based variational quantum algorithms (VQAs), which are designed to determine the ground state of a quantum mechanical system by combining classical and quan…
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility
Simone Fagioli, Oliver Tse
We prove the well-posedness of entropy solutions for a wide class of nonlocal transport equations with nonlinear mobility in one spatial dimension. The solution is obtained as the…
Controlled pattern formation of stochastic Cucker-Smale systems with network structures
Young-Pil Choi, Doeun Oh, Oliver Tse
We present a new stochastic particle system on networks which describes the flocking behavior and pattern formation. More precisely, we consider Cucker-Smale particles with decentr…
Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces
Young-Pil Choi, Oliver Tse
We establish a quantitfied overdamped limit for kinetic Vlasov-Fokker-Planck equations with nonlocal interaction forces. We provide explicit bounds on the error between solutions o…
Jump processes as Generalized Gradient Flows
Mark A. Peletier, Riccarda Rossi, Giuseppe Savaré +1
We have created a functional framework for a class of non-metric gradient systems. The state space is a space of nonnegative measures, and the class of systems includes the Forward…
Large deviations for singularly interacting diffusions
Jasper Hoeksema, Thomas Holding, Mario Maurelli +1
In this paper we prove a large deviation principle (LDP) for the empirical measure of a general system of mean-field interacting diffusions with singular drift (as the number of pa…
Instantaneous control of interacting particle systems in the mean-field limit
Martin Burger, Rene Pinnau, Claudia Totzeck +2
Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instant…
Mean-field optimal control and optimality conditions in the space of probability measures
Martin Burger, René Pinnau, Claudia Totzeck +1
We derive a framework to compute optimal controls for problems with states in the space of probability measures. Since many optimal control problems constrained by a system of ordi…
An inequality connecting entropy distance, Fisher Information and large deviations
Bastian Hilder, Mark A. Peletier, Upanshu Sharma +1
In this paper we introduce a new generalisation of the relative Fisher Information for Markov jump processes on a finite or countable state space, and prove an inequality which con…
Convergence to Equilibrium in Wasserstein distance for damped Euler equations with interaction forces
José A. Carrillo, Young-Pil Choi, Oliver Tse
We develop tools to construct Lyapunov functionals on the space of probability measures in order to investigate the convergence to global equilibrium of a damped Euler system under…
Controlling a self-organizing system of individuals guided by a few external agents -- particle description and mean-field limit
Martin Burger, René Pinnau, Andreas Roth +2
Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathemat…
Elastic image registration with exact mass preservation
Jarosław Wlazło, Robert Feßler, René Pinnau +2
We establish a new framework for image registration, which is based on linear elasticity and optimal mass transportation theory. We combine these two arguments in order to obtain a…
A consensus-based model for global optimization and its mean-field limit
René Pinnau, Claudia Totzeck, Oliver Tse +1
We introduce a novel first-order stochastic swarm intelligence (SI) model in the spirit of consensus formation models, namely a consensus-based optimization (CBO) algorithm, which…
A multiscale approach for spatially inhomogeneous disease dynamics
Markus Schmidtchen, Oliver Tse, Stephan Wackerle
In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR model by Kermack and McKendrick. We further provide a multiscale approach to the…
An analytical framework for a consensus-based global optimization method
José A. Carrillo, Young-Pil Choi, Claudia Totzeck +1
In this paper we provide an analytical framework for investigating the efficiency of a consensus-based model for tackling global optimization problems. This work justifies the opti…
The quasi-neutral limit in optimal semiconductor design
Rene Pinnau, Claudia Totzeck, Oliver Tse
We study the quasi-neutral limit in an optimal semiconductor design problem constrained by a nonlinear, nonlocal Poisson equation modelling the drift diffusion equations in thermal…
Trend to equilibrium for a delay Vlasov-Fokker-Planck equation and explicit decay estimates
Axel Klar, Lisa Kreusser, Oliver Tse
In this paper, a delay Vlasov-Fokker-Planck equation associated to a stochastic interacting particle system with delay is investigated analytically. Under certain restrictions on t…
Mean field models for interacting ellipsoidal particles
Raul Borsche, Axel Klar, Anne Meurer +1
We consider a mean field hierarchy of models for large systems of interacting ellipsoids suspended in an incompressible fluid. The models range from microscopic to macroscopic mean…