Results 51 to 60 of about 25,379 (179)
Cohen–Macaulayness of Vertex Splittable Monomial Ideals
MathematicsIn this paper, we give a new criterion for the Cohen–Macaulayness of vertex splittable ideals, a family of monomial ideals recently introduced by Moradi and Khosh-Ahang. Our result relies on a Betti splitting of the ideal and provides an inductive way of
Marilena Crupi, Antonino Ficarra
doaj +1 more source
Regularity of quasi-symbolic and bracket powers of Borel type ideals [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper, we show that the regularity of the q-th quasi-symbolic power I^{((q))} and the regularity of the q-th bracket power I^{[q]} of a monomial ideal of Borel type I, satisfy the relations reg(I^{((q))})\le q reg(I), respectively reg(I^{[q ...
Mircea Cimpoeas
doaj
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.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
The strong Lefschetz property in codimension two [PDF]
, 2013 Every artinian quotient of $K[x,y]$ has the strong Lefschetz property if $K$ is a field of characteristic zero or is an infinite field whose characteristic is greater than the regularity of the quotient.
Cook II, David
core
Sensitivity and Hamming Graphs
Journal of Graph Theory, EarlyView.ABSTRACT For any m ≥ 3 $m\ge 3$ we show that the Hamming graph H ( n , m ) $H(n,m)$ admits an imbalanced partition into m $m$ sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m $m$‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio +3 more
wiley +1 more source
Poincaré series of monomial rings with minimal Taylor resolution
Le Matematiche, 2012 We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q where I_q is a monomial ideal generated by the q’th power of monomial generators of I.
Yohannes Tadesse
doaj
Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
Computer Graphics Forum, EarlyView.Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley +1 more source
A Minimal Poset Resolution of Stable Ideals [PDF]
, 2010 We use the theory of poset resolutions to construct the minimal free resolution of an arbitrary stable monomial ideal in the polynomial ring whose coefficients are from a field.
Clark, Timothy B. P.
core
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Some remarks on the Stanley depth for multigraded modules
Le Matematiche, 2008 We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, where S = K[x_1; ... ; x_n]. Also, we give some bounds for the Stanley depth of the powers of the maximal irrelevant ideal in S.
Mircea Cimpoeas
doaj