Category: Mathematics
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Reformulated q-middle convolution gains additive composition
This research indicates that reformulating the q-convolution and q-middle convolution adds q-analogues of addition, gives additivity for composing two q-middle convolutions, and provides conditions for Jackson integrals to converge and satisfy the related q-difference equation.
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Continuous-time sampler performs well for trans-dimensional Bayesian inference
This research indicates that a continuous-time Markov chain Monte Carlo framework can sample models with unknown dimensionality efficiently and automatically accept trans-dimensional moves.
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Hausdorff dimension computed for shrinking targets on affine fractals
This research indicates that the Hausdorff dimension of sets that return repeatedly to shrinking geometric targets can be computed for certain affine iterated function systems, including a class of diagonal affine maps introduced by Przytycki and Urbański.
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Modular symmetry supports quintessence and de Sitter vacua
This research indicates that modular symmetry in heterotic orbifolds can produce anti-de Sitter minima, unstable de Sitter saddle points, and regions with multifield hilltop quintessence consistent with observations.
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Rectangle partitions extend the partition function geometrically
This research indicates that counting partitions of a rectangle into integer-sided rectangular blocks is a natural geometric extension of the partition function.
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Existence of strictly parameterized noetherian valuation domains shown
This research indicates that for every singular or regular cardinal, there is a valuation domain with the corresponding strictly parameterized noetherian property described in the abstract.
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Spectral localizer matches local Chern and winding markers
This research indicates that the spectral localizer and the local Chern and winding markers are explicitly equivalent.
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Unit-zero divisor graphs reflect ring structure
This research indicates that a new graph construction for commutative rings with identity can reflect both additive and multiplicative structure.
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Accelerated spectral deferred correction methods improved accuracy for fractional diffusion equations
This research indicates that spectral deferred correction methods, using a compact difference preconditioner and a discrete sine transform acceleration, can provide accurate and stable solutions for nonlinear space-fractional diffusion equations.
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Tensor product formulas are extended to Bollobás-Riordan and Krushkal polynomials
This research indicates that tensor product formulas can be generalized and unified for the Bollobás-Riordan and Krushkal polynomials.
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