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arXiv preprints from January 1, 2026 through July 20, 2026 — 01:04:14 EST

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Posted in math.OC · 2026-07-07 · Sumith Reddy Anugu, Guodong Pang, Nicola Sassone

Jacobi-like relative value iteration algorithms for ergodic risk-sensitive control of Markov chains

We propose a Jacobi-like relative value iteration (RVI) algorithm and a Gauss-Seidel-like implementation for the ergodic risk-sensitive control (ERSC) problem of a controlled discrete time Markov chain (DTMC) on a finite state space. Under the assumption that the DTMC is irreducible and recurrent under every stationary Markov policy,...

💬 0 commentsarXiv:2607.06863v1PDF
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Posted in math.AG · 2026-07-07 · Vladimir Guletskii, Bo Zhang

Arithmetic of Gysin kernels

Let $k$ be a field, and let $X$ be a smooth projective surface over $k$. Fix a Lefschetz pencil on $X$, and let $C$ be its fibre at the generic point of $\mathbb P^1$. The closed immersion of $C$ in to $X_{k(t)}$ induces the Gysin homomorphism from the Jacobian $A$ of the curve $C$ to the Chow group $A_0(X_{k(t)})$ of $0$-cycles of...

💬 0 commentsarXiv:2607.06853v1PDF