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Computability and Beltrami fields in Euclidean space
(2022-11-12)
Article
Open AccessIn this article, we pursue our investigation of the connections between the theory of computation and hydrodynamics. We prove the existence of stationary solutions of the Euler equations in Euclidean space, of Beltrami ... -
On the generalized dimension and codimension of simple games
(2022-07-29)
Article
Restricted access - publisher's policyWeighted voting games are simple games that can be represented by a collection of integer weights for each player so that a coalition wins if the sum of the player weights matches or exceeds a given quota. It is known that ... -
Interacting particles with Lévy strategies: limits of transport equations for swarm robotic systems
(Society for Industrial and Applied Mathematics (SIAM), 2020-01)
Article
Open AccessLévy robotic systems combine superdiffusive random movement with emergent col-lective behavior from local communication and alignment in order to find rare targets or track objects.In this article we derive macroscopic ... -
Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach
(2021-09)
Article
Open AccessMotivated by experimental observations in 3D/organoid cultures derived from glioblastoma, we propose a novel mechano-transduction mechanism where the introduction of a chemotherapeutic treatment induces mechanical changes ... -
Decay of waves in strain gradient porous elasticity with Moore-Gibson-Thompson dissipation
(2022-09-05)
Article
Open AccessWe study a one-dimensional problem arising in strain gradient porous-elasticity. Three different Moore–Gibson–Thompson dissipation mechanisms are considered: viscosity and hyperviscosity on the displacements, and weak ... -
Applying the geodetic detrending technique for investigating the consistency of GPS L2P(Y) in several receivers
(2022-11)
Article
Restricted access - publisher's policyGlobal Navigation Satellite System signals have been used for years to study high-frequency fluctuations (f>0.1Hz)intheionosphere. The customary procedure uses the geometry-free (GF) combination ofL1andL2carriers, for which ... -
Valuative trees over valued fields
(Elsevier, 2023-01-15)
Article
Open AccessFor an arbitrary valued field (K, v) and a given extension v(K*) ¿¿ ¿ of ordered groups, we analyze the structure of the tree formed by all ¿-valued extensions of v to the polynomial ring K[x]. As an application, we find ... -
How to fit a tree in a box
(Springer Nature, 2022-10-01)
Article
Open AccessWe study compact straight-line embeddings of trees. We show that perfect binary trees can be embedded optimally: a tree with n nodes can be drawn on a vn by vn grid. We also show that testing whether a given rooted binary ... -
Asymptotic stability for block triangular maps
(2022-06)
Article
Open AccessWe prove a result concerning the asymptotic stability and the basin of attraction of fixed points for block triangular maps. This result is applied to some families of discrete dynamical systems and several types of ... -
On the expected number of perfect matchings in cubic planar graphs
(2022-01-01)
Article
Open AccessA well-known conjecture by Lovász and Plummer from the 1970s asserted that a bridgeless cubic graph has exponentially many perfect matchings. It was solved in the affirmative by Esperet et al. (Adv. Math. 2011). On the ... -
Stallings automata for free-times-abelian groups: intersections and index
(2022-06-22)
Article
Open AccessWe extend the classical Stallings theory (describing subgroups of free groups as automata) to direct products of free and abelian groups: after introducing enriched automata (i.e., automata with extra abelian labels), we ... -
Separating bichromatic point sets in the plane by restricted orientation convex hulls
(2022-10-10)
Article
Open AccessWe explore the separability of point sets in the plane by a restricted-orientation convex hull, which is an orientation-dependent, possibly disconnected, and non-convex enclosing shape that generalizes the convex hull. Let ...
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