Jonas Jalowy

The Infinite Block Spin Ising Model

Abstract We study a block mean-field Ising model with N spins split into $$s_N$$ s N blocks, with Curie–Weiss interaction within blocks and nearest-neighbor coupling between blocks. While previous models deal with the block magnetization for a fixed number of blocks, we study the...

Zeros and Exponential Profiles of Polynomials I: Limit Distributions, Finite Free Convolutions and Repeated Differentiation

Abstract Given a sequence of polynomials $$(P_n)_{n \in \mathbb {N}}$$ ( P n ) n ∈ N with only nonpositive zeros, the aim of this article is to present a user-friendly approach for determining the limiting zero distribution of $$P_n$$ P n as $$\deg P_n \rightarrow \infty $$ deg P...