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From the 1 of 5.3k papers with an AI index.

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19932026

5,259 papers

cond-mat.stat-mech2026★ 2 cited

A New Framework for Interfacial Statistics: Exact n-Point Correlations of Gaussian Level Sets

Aleksei M. Cherkasov, Kirill M. Gerke, Aleksey Khlyupin

We derive exact analytical expressions for higher-order correlations of Gaussian level-set interfaces, establishing a direct link between bulk field statistics and interface geomet…

physics.optics2026★ 2 cited

Thresholdless corner vortex solitons in fractal Sierpiński topological insulators

Yiqi Zhang, Alexander V. Kireev, Victor O. Kompanets +12

Quantized vortices are ubiquitous in physics, spanning superconductivity, astrophysics, superfluid condensed matter systems, and nonlinear optics. Yet embedding vorticity into topo…

math.CO2026★ 1 cited

Modularity in planted partition model

M. Koshelev

We obtain tight bounds on the modularity of PPM graphs in the case of equally sized parts. Moreover, we provide a general method that can help in obtaining bounds for various other…

math.CO2026★ 9 cited

Spectrum of Johnson graphs

M. Koshelev

In this paper we prove new bounds on the second eigenvalue of Johnson graphs. We then apply these bounds to obtain new results on the modularity of Johnson graphs and their random…

math.RA2026★ 5 cited

Relation graphs of the sedenion algebra

Alexander Guterman, Svetlana Zhilina

Let denote the algebra of the sedenions, and denote its orthogonality graph. We observe that any pair of zero divisors in produces a dou…

math.RA2026★ 1 cited

On doubly alternative zero divisors in Cayley-Dickson algebras

Svetlana Zhilina

Zero divisors of Cayley-Dickson algebras over an arbitrary field , , are studied. It is shown that zero divisors, whose components a…