T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
wiley +1 more source
Groups of type E7 over arbitrary fields
. Freudenthal triple systems come in two flavors, degenerate and nondegenerate. The best criterion for distinguishing between the two which is available in the literature is by descent.
R. Skip Garibaldi
core
Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur +5 more
wiley +1 more source
Machine learning we can trust: tensor algebra and the design of reliable foundation models
Abstract When an AI model answers our question, can we interrogate this particular answer and receive solid reasoning? Twenty‐four centuries ago, Socrates judged understanding not by how fluently someone spoke but by whether their claims survived questioning.
Grigorios G. Chrysos
wiley +1 more source
A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
wiley +1 more source
Equivariant Riemann-Roch theorems for curves over perfect fields
We prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q.
Koeck, Bernhard +3 more
core +1 more source
Colourings of Uniform Group Divisible Designs and Maximum Packings
ABSTRACT A weak c‐colouring of a design is an assignment of colours to its points from a set of c available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
wiley +1 more source
Extension maps and the moduli spaces of rank 2 vector bundles over an algebraic curve [PDF]
Let SUc(2,Ʌ) be the moduli space of rank 2 vector bundles with determinant Ʌ on an algebraic curve C. This thesis investigates the properties of a rational map PU(_d,A) →(^c,d) SUc(2, A) where PU(_d,A) is a projective bundle of extensions over the ...
Gronow, Michael Justin, Gronow, M.J.
core
Signed Projective Cubes, a Homomorphism Point of View
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source

