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Diffusion Processes with One-sided Selfsimilar Random Potentials
Long-time behavior of diffusion processes with one-sided random potentials starting from the origin is studied. As random potentials, some strictly...
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A note on the spectral map** theorem for point spectrum
The spectral map** theorem, in conjunction with the concept of a spectral set, is utilized to construct reducing pairs of subspaces for a given...
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Quadric cones on the boundary of the Mori cone for very general blowups of the plane
In this paper we show the existence of cones over a 8-dimensional rational sphere at the boundary of the Mori cone of the blow-up of the plane at
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On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons
We provide conditions for a compact gradient hyperbolic Ricci and a compact gradient hyperbolic Yamabe soliton to be trivial, hence, the manifold to...
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n-Harmonic calculus and applications
We define and study a functional calculus for vector valued n-harmonic functions. As applications, we obtain a generalization of the well-known...
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Littlewood–Paley–Stein square functions for the fractional discrete Laplacian on \(\mathbb {Z}\)
We investigate the boundedness of “vertical” Littlewood–Paley–Stein square functions for the nonlocal fractional discrete Laplacian on the lattice
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Fractional controllability of semilinear hyperbolic systems
This research considered the fractional controllability problem of internally controlled semilinear hyperbolic systems. In the first method, we show...
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Bounds on tree distribution in number theory
By recursively applying the prime decomposition to the exponents, every natural number determines a rooted planar tree in a canonical way. In...
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The relatively perfect Greenberg transform and cycle class maps
Given a scheme over a complete discrete valuation ring of mixed characteristic with perfect residue field, the Greenberg transform produces a new...
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Pureté de l’approximation forte sur le corps des fonctions d’une courbe algébrique complexe
Over the function field of a complex algebraic curve, strong approximation off a non-empty finite set of places holds for the complement of a...
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Elliptic groups and rings
As it is well known, one can define an abelian group on the points of an elliptic curve, using the so called chord–tangent law (Husemöller in...
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Quantum signal processing and nonlinear Fourier analysis
Elucidating a connection with nonlinear Fourier analysis (NLFA), we extend a well known algorithm in quantum signal processing (QSP) to represent...
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On p-adic Siegel–Eisenstein series from a point of view of the theory of mod \(p^m\) singular forms
We show that the p -adic Siegel–Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus...
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Locally conformally Kähler spaces and proper open morphisms
In this paper, we prove a stability result for the non-Kähler geometry of locally conformally Kähler (lcK) spaces with singularities. Specifically,...
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An inclusion–exclusion principle for tautological sheaves on Hilbert schemes of points
We show an equation of Euler characteristics of tautological sheaves on Hilbert schemes of points on the fibers of a double point degeneration. This...