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math.PR2024
Flocking under Fast and Large Jumps: Stability, Chaos, and Traveling Waves
Sayan Banerjee, Amarjit Budhiraja, Dilshad Imon
We study a model for flocking given by a -particle system under which each particle jumps forward by a random amount, independently sampled from a given distribution , with r…
math.PR2024
On Some Extensions of the Boué-Dupuis Variational Formula
A. Budhiraja
The Boué-Dupuis variational formula gives a representation for log Laplace transforms of bounded measurable functions of a finite dimensional Brownian motion on a compact time inte…
math.PR2024
Diffusion limits in the quarter plane and non-semimartingale reflected Brownian motion
Rami Atar, Amarjit Budhiraja
We consider a continuous-time random walk in the quarter plane for which the transition intensities are constant on each of the four faces , $F_1=\{0\}\times(0,\infty…