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Neutron Activation Analysis of Rare Earth Elements (Sc, La, Ce, Nd, Sm, Eu, Tb, Dy, Yb) in the Diagnosis of Ecosystems of Donbass
AbstractUnder conditions of intense anthropogenic impact, the territory of modern Donbass is geochemically contrasting environment. Concentrations of...
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Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
In the tensorial group field theory (TGFT) approach to quantum gravity, the basic quanta of the theory correspond to discrete building blocks of...
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Dynamics of Resonances for 0th Order Pseudodifferential Operators
We study the dynamics of resonances of analytic perturbations of 0th order pseudodifferential operators P ( s ). In particular, we prove a Fermi golden...
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Representation of the Vortex Sheets in the Perfect Fluid
We discuss representation of the vortex sheets in the perfect fluid. In the preface of his book, I. Imai claimed “hyperfunction = vortex layer”, the...
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Cutkosky representation and direct integration
We present a new method of direct integration of Feynman integrals based on the Cutkosky representation of the integrals. In this representation we...
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Tubular Geometries
Following the recent developments in materials science and sample fabrication magnetic nanowires and nanotubes became an intensively studied research...
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A double copy from twisted (co)homology at genus one
We study the twisted (co)homology of a family of genus-one integrals — the so called Riemann-Wirtinger integrals. These integrals are closely related...
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Analytic Hadamard States, Calderón Projectors and Wick Rotation Near Analytic Cauchy Surfaces
We consider the Klein–Gordon equation on analytic spacetimes with an analytic Cauchy surface. In this setting, we prove the existence of pure...
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Characterization of the Principal 3D Slices Related to the Multicomplex Mandelbrot Set
This article focuses on the dynamics of the different tridimensional principal slices of the multicomplex Multibrot sets. First, we define an...
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Wick Rotation for D-modules
We extend the classical Wick rotation to D-modules and higher codimensional submanifolds.
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Duals of Feynman integrals. Part I. Differential equations
We elucidate the vector space (twisted relative cohomology) that is Poincaré dual to the vector space of Feynman integrals (twisted cohomology) in...
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Crossing beyond scattering amplitudes
We find that different asymptotic measurements in quantum field theory can be related to one another through new versions of crossing symmetry ....
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Quantum corrections to the BTZ black hole extremality bound from the conformal bootstrap
Any unitary compact two-dimensional CFT with c > 1 and no symmetries beyond Virasoro has a parametrically large density of primary states at large...
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Constraints on sequential discontinuities from the geometry of on-shell spaces
We present several classes of constraints on the discontinuities of Feynman integrals that go beyond the Steinmann relations. These constraints...
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Sato’s Hyperfunctions and Boundary Values of Monogenic Functions
We describe the relationship between Sato’s hyperfunctions and other theories of boundary values. In particular we show how monogenic functions can...
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Sheaves and D-Modules on Lorentzian Manifolds
We introduce a class of causal manifolds which contains the globally hyperbolic spacetimes and prove global propagation theorems for sheaves on such...
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Integrated mathematical models for describing complex biological processes
This review describes integrated mathematical models of processes, such as calcium homeostasis, pathogen–host interaction (with hepatitis C virus as...
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Multicomplex Wave Functions for Linear And Nonlinear Schrödinger Equations
We consider a multicomplex Schrödinger equation with general scalar potential, a generalization of both the standard Schrödinger equation and the...
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A Tribute to Louis Boutet de Monvel
Louis Boutet de Monvel, an eminent mathematician of our time, passed away on December 25, 2014. This article addresses his outstanding personality...