Results 31 to 40 of about 136 (128)
The Kernel Relation for a Completely Regular Semigroup
The kernel of a congruence \(\rho\) on a regular semigroup \(S\) is the union of the idempotent \(\rho\)-classes. The kernel relation \(K\) is the equivalence relation on the congruence lattice \(C(S)\) of \(S\) that identifies those congruences with the same kernel. This relation was introduced by \textit{F. Pastijn} and the author [Trans. Am.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
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 theories classified by an étendue
Abstract We give a model‐theoretic characterisation of the geometric theories classified by étendues—the ‘locally localic’ topoi. They are the theories where each model is determined, syntactically and semantically, by any witness of a fixed collection of formulae.
Joshua L. Wrigley
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The structure of completely regular semigroups [PDF]
The principal result is a construction of completely regular semigroups in terms of semilattices of Rees matrix semigroups and their translational hulls. The main body of the paper is occupied by considerations of various special cases based on the behavior of either Green’s relations or idempotents.
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Extremal rate of convergence in continuous dynamics
Abstract This paper deals with semigroups of holomorphic self‐maps of the upper half‐plane that exhibit an extremal (i.e., the slowest possible) rate of convergence to their Denjoy–Wolff point. The main novelty lies in the parabolic case of zero hyperbolic step.
Francisco J. Cruz‐Zamorano +1 more
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Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
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Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
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On quasi completely regular semigroups
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Galbiati, J.L., Veronesi, M.L.
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Oppenheim–Schur inequalities for causal products
Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot +2 more
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