9 citations · 28 across the 7 of their papers we have counts for
8 papers
Convergence and stationary distribution of Elo rating systems
Roberto Cortez, Hagop Tossounian
The Elo rating system is a popular and widely adopted method for measuring the relative skill levels of players or teams in various sports and competitions. It assigns players nume…
Chaos for rescaled measures on Kac's sphere
Roberto Cortez, Hagop Tossounian
In this article we study a relatively novel way of constructing chaotic sequences of probability measures supported on Kac's sphere, which are obtained as the law of a vector of $N…
On a thermostated Kac model with rescaling
Roberto Cortez, Hagop Tossounian
We introduce a global thermostat on Kac's 1D model for the velocities of particles in a space-homogeneous gas subjected to binary collisions, also interacting with a (local) Maxwel…
Uniform propagation of chaos for the thermostated Kac model
Roberto Cortez, Hagop Tossounian
We consider Kac's 1D N-particle system coupled to an ideal thermostat at temperature T, introduced by Bonetto, Loss, and Vaidyanathan in 2014. We obtain a propagation of chaos resu…
Trace formulas applied to the Riemann -function
Mark S. Ashbaugh, Fritz Gesztesy, Lotfi Hermi +3
We use a spectral theory perspective to reconsider properties of the Riemann zeta function. In particular, new integral representations are derived and used to present its value at…
Equilibration in the Kac Model using the GTW Metric
Hagop Tossounian
We use the Fourier based Gabetta-Toscani-Wennberg (GTW) metric to study the rate of convergence to equilibrium for the Kac model in dimension. We take the initial velocit…
Uniform Approximation of a Maxwellian Thermostat by Finite Reservoirs
Federico Bonetto, Michael Loss, Hagop Tossounian +1
We study the evolution of a system of M particles in contact with a large reservoir of N>>M particles. The reservoir is initially in equilibrium at temperature T=1/β. The evolution…
Partially Thermostated Kac Model
Hagop Tossounian, Ranjini Vaidyanathan
We study a system of particles interacting through the Kac collision, with of them interacting, in addition, with a Maxwellian thermostat at temperature . We use…