Results 61 to 70 of about 1,787 (195)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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On the positivity and integrality of coefficients of mirror maps
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
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Subgroup intersection graph of finite abelian groups [PDF]
Transactions on Combinatorics, 2012 Let G be a finite group with identity e. The subgroup intersection graph Gamma_SI (G) of G isa graph with vertex set G − e and two distinct vertices x and y are adjacent if and only if | i ∩ | | > 1.
T. Tamizh Chelvam, M. Sattanathan
doaj
Hopfian additive groups of rings [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаA group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
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Rocky Mountain Journal of Mathematics, 2002 The author describes the activities in Abelian group theory at the universities of Moscow, Tomsk, and St. Petersburg.
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On a Ramsey–Turán variant of Roth's theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A classical theorem of Roth states that the maximum size of a solution‐free set of a homogeneous linear equation L$\mathcal {L}$ in Fp$\mathbb {F}_p$ is o(p)$o(p)$ if and only if the sum of the coefficients of L$\mathcal {L}$ is 0. In this paper, we prove a Ramsey–Turán variant of Roth's theorem, with respect to a natural notion of “structured”
Matija Bucić +4 more
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Kitaoka's conjecture and sums of squares
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala +2 more
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On Nielsen equivalence classes of two‐element generators of mapping class groups
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.
Susumu Hirose, Naoyuki Monden
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Several Zagreb indices of power graphs of finite non-abelian groups. [PDF]
Heliyon, 2023 Ismail R +5 more
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Totally elliptic surface group representations
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
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