Results 131 to 140 of about 827 (202)
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
Strong bi-homogeneous B\'{e}zout theorem and its use in effective real algebraic geometry
, 2006 Let f1, ..., fs be a polynomial family in Q[X1,..., Xn] (with s less than n) of degree bounded by D. Suppose that f1, ..., fs generates a radical ideal, and defines a smooth algebraic variety V. Consider a projection P.
Din, Mohab Safey El, Trebuchet, Philippe
core +2 more sources
Exploring Imprecise Probabilities in Quantum Algorithms with Possibility Theory
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT Quantum computing utilizes the underlying principles of quantum mechanics to perform computations with unmatched performance capabilities. Rather than using classical bits, it operates on qubits, which can exist in superposition and entangled states. This enables the solution of problems that are considered intractable for classical computers.
Jan Schneider +2 more
wiley +1 more source
Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects
Advanced Quantum Technologies, Volume 9, Issue 3, March 2026.Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold +3 more
wiley +1 more source
On goodness‐of‐fit testing for self‐exciting point processes
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 102-139, March 2026.Abstract Despite the wide usage of parametric point processes in theory and applications, a sound goodness‐of‐fit procedure to test whether a given parametric model is appropriate for data coming from a self‐exciting point process has been missing in the literature.
José Carlos Fontanesi Kling +1 more
wiley +1 more source
On quantum ergodicity for higher‐dimensional cat maps modulo prime powers
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract A discrete model of quantum ergodicity of linear maps generated by symplectic matrices A∈Sp(2d,Z)$A \in \operatorname{Sp}(2d,{\mathbb {Z}})$ modulo an integer N⩾1$N\geqslant 1$, has been studied for d=1$d=1$ and almost all N$N$ by Kurlberg and Rudnick (2001, Comm. Math. Phys., 222, 201–227).
Subham Bhakta, Igor E. Shparlinski
wiley +1 more source
On Hilbert's type inequalities
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Postulation of schemes of length at most 4 on surfaces
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract In this paper, we address the postulation problem of zero‐dimensional schemes of length at most 4 on a surface. We prove some general results and then we focus on the case of P2$\mathbb {P}^2$, P1×P1$\mathbb {P}^1\times \mathbb {P}^1$ and Hirzebruch surfaces. In particular, we prove that except for few well‐known exceptions, a general union of
Edoardo Ballico, Stefano Canino
wiley +1 more source
Determinacy on the edge of second‐order arithmetic, I
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract This is the first of two articles on the strength of m$m{}$‐Σ30$\bm{\Sigma }^0_3{}$‐determinacy for m∈N$m\in \mathbb {N}$, the strongest theories of determinacy contained in Hilbert's second‐order arithmetic (Z2)$(Z_2)$. In this article, we refute two natural conjectures on the strength of these principles in terms of inductive definability ...
J. P. Aguilera, P. D. Welch
wiley +1 more source
A short walk in quantum probability. [PDF]
Philos Trans A Math Phys Eng Sci, 2018 Hudson R.
europepmc +1 more source