Results 71 to 80 of about 1,415 (175)
Post-Quantum PKE from Unstructured Noisy Linear Algebraic Assumptions: Beyond LWE and Alekhnovich\u27s LPN [PDF]
Noisy linear algebraic assumptions with respect to random matrices, in particular Learning with Errors ($\mathsf{LWE}$) and Alekhnovich Learning Parity with Noise (Alekhnovich $\mathsf{LPN}$), are among the most investigated assumptions that imply post ...
Neekon Vafa +4 more
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Repelled Point Processes With Application to Numerical Integration
Scandinavian Journal of Statistics, EarlyView.ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
wiley +1 more source
School Science and Mathematics, EarlyView.ABSTRACT This study investigates the impact of problem‐posing on the mathematical proficiency and engagement of 56 Developmental Mathematics (DM) students enrolled in a noncredit college mathematics course. Using a quasi‐experimental design, one of two existing classes was selected as the experimental group and received a 5‐week intervention focused on
John Sevier +2 more
wiley +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
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
wiley +1 more source
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 9, Page 1811-1827, 25 July 2026.ABSTRACT Multivariate ground motion models (GMMs) that capture the correlation between different intensity measures (IMs) are essential for seismic risk assessment. Conventional GMMs are often developed using a two‐stage approach, where separate univariate models with predefined functional forms are fitted first, and correlation is addressed in a ...
Sayed Mohammad Sajad Hussaini +2 more
wiley +1 more source
Geometric Planted Matchings Beyond the Gaussian Model
Random Structures &Algorithms, Volume 68, Issue 4, July 2026.ABSTRACT We consider the problem of recovering an unknown matching between a set of n$$ n $$ randomly placed points in ℝd$$ {\mathbb{R}}^d $$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity resolution.
Lucas R. Schwengber, Roberto I. Oliveira
wiley +1 more source
Free Probability For Probabilists
, 1998 . This is an introduction to some of the most probabilistic aspects of free probability theory. Introduction Free probability is a non-commutative probability theory, in which the concept of independence of classical probability is replaced by that of ...
Philippe Biane
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Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
Advanced Photonics Research, Volume 7, Issue 6, June 2026.This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley +1 more source
Interactions in random structures [PDF]
Interaction plays an important role in probability. When analyzing random structures, a lot of understanding is to be gained from the relationship between different aspects of an object, and the influence its different substructures have on each other.
Hiesmayr, Ella Veronika
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