We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size N infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantum mechanics. The potential of the models is slowly varying, and the large-N limit is taken with the slowly varying limit. First, we explain our formalism, introducing an external field to detect spon...

The propagation properties of spin degrees freedom are analyzed in the framework relativistic hydrodynamics with based on de Groot van Leeuwen--van Weert definitions energy-momentum and tensors. We derive analytical expression for wave velocity arbitrary statistics show that it goes to half speed light ultrarelativistic limit. find only transverse propagate, analogously electromagnetic waves. F...

microbe-associated molecular patterns (mamps) play key roles as activators of the innate immune response in animals and, analogously, as elicitors of defense responses in plants. however, there are not much investigations concerning their real importance in plant resistance against pathogens. here we used derivatives of flagellin and ef-tu as two well-known mamps against some important fungal a...

Given a family C of closed bounded convex sets in Banach space X, we say that X has the C-MIP if every C∈C is intersection balls containing it. In this paper, introduce stronger version and show it more satisfactory generalisation MIP inasmuch as one can obtain complete analogues various characterisations MIP. We also uniform versions (strong) characterise them analogously. Even case, strong C-...

Accounting for the real material behavior in topology optimization is essential since it determines final optimal structure. For considering a plastic behavior, we propose surrogate plasticity model within thermodynamic to handle this complex resource-efficient manner. We physically correct strains analogously classic models but without path-dependence and hysteresis during course of optimizati...

Abstract We show that the Banach–Mazur distance between parallelogram and affine-regular hexagon is $$\frac{3}{2}$$ 3 2 we conclude diameter of family centrally-symmetric planar convex bodies just . A proof this fact does not seem to be published earlier. Asplund anno...

Abstract The maximum likelihood decoding problem (MLD) is known to be NP-hard and its complexity strictly related the security of some post-quantum cryptosystems, that is, so-called code-based primitives. Analogously, multivariate quadratic system (MQ) necessary for multivariate-based In this paper we present a closed formula polynomial-time reduction from any instance MLD an MQ, viceversa. We ...

In this work we study Randers spacetimes of Berwald type and analyze Pfeifer Wohlfarth's vacuum field equation Finsler gravity for class. We show that in case the is equivalent to vanishing Ricci tensor, analogously Einstein gravity. This implies considered Rutz's coincide scenario. also construct all exact solutions Berwald-Randers gravity, which turn out be composed a CCNV (covariantly consta...

The study of density-dependent stochastic population processes (DDSPPs) is important from a historical perspective as well the number existing and emerging applications today. In more recent these processes, it can be especially to include time-varying parameters for rates that impact structures behaviors. Under mean-field scaling, we show such time-inhomogeneous DDSPPs converge corresponding n...

We introduce the relativistic version of well-known Henon's isochrone spherical models: static spherically symmetrical spacetimes in which all bounded trajectories are sense, i.e., their radial periods do not depend on angular momenta. Analogously to Newtonian case, these "isochrone spacetimes" have as particular cases so-called Bertrand spacetimes, periodic. propose a procedure generate by mea...