Translated papers from the Chinese Preprint site, Chinaxiv
Showing 50 of 15540 papers
Generated abstract This note studies least common residues and least mixed residue or nonresidue values of polynomial systems modulo a prime. Using estimates for rational points and exponential sums on algebraic curves over finite fields, it proves that under absolute irreducibility hypotheses the least common natural…
Generated abstract The paper studies the Cauchy problem for linear nonhomogeneous differential equations with retarded argument in a Banach space, with initial data taken either from an \(L_p\) space or from the space of continuous functions. Its main method is to replace the delay equation by an equivalent ordinary d…
Generated abstract The paper studies removable singularity sets for mappings with bounded distortion and for quasiconformal mappings in Euclidean space. It introduces zero alpha-capacity sets, establishes auxiliary results relating such sets to Hausdorff measure and projections of measure zero, and proves an estimate …
Generated abstract The paper formulates an embedding principle for enumerating labeled graphs by relating a target class to distinguished induced subgraphs inside a larger class, yielding linear recurrence relations for the desired counts. This method is applied to directed graphs with reachability and strong connecte…
Generated abstract The paper studies when weak Gaussian distributions, or realizations of Gaussian processes indexed by a compact subset of a Hilbert space, extend to measures on a Banach space or define bounded and continuous linear forms. It formulates conditions in terms of the epsilon entropy type of the compact u…
Generated abstract This paper studies the radial Dirac equation with a Coulomb singularity perturbed by an integrable potential, focusing on analytic properties of the coefficient governing asymptotic behavior of its solutions. Under regularity and decay assumptions on the perturbation, it proves analytic continuation…
Generated abstract This paper examines the spontaneous charging of beta-active aerosol particles caused by their own electron emission. A diffusion model using the probability of ion capture by a charged spherical particle is developed to estimate the stationary positive charge, predicting that for sufficiently active…
Generated abstract This note studies eigenvector systems of completely nonunitary contractions modeled as restrictions of the adjoint shift to invariant subspaces determined by inner operator functions. Under assumptions of isolated eigenvalues, complete eigenfunctions, and uniform minimality, it gives equivalent crit…
Generated abstract The paper addresses P. S. Aleksandrov’s question on whether the small and large inductive dimensions must coincide for bicompact spaces. It constructs a Hausdorff bicompactum using lexicographically ordered compact continua, dense decompositions, marked transfinite sequences, Cantor set mappings, an…
Generated abstract This paper introduces a boundary projection operator for finite multidimensional systems of linear difference equations with constant matrix coefficients, under a nonvanishing condition on the characteristic matrix on the unit torus. Using contour integral formulas for coefficient matrices, it const…
Generated abstract This paper studies the motion of a centrally symmetric medium with velocities close to the speed of light within general relativity. Starting from the relativistic hydrodynamic and field equations, it assumes an ultrarelativistic equation of state and expands for small deviations from light speed, i…
Generated abstract The paper examines observable consequences of relativistic tensor theories of gravitation in flat space, especially cases in which the equivalence principle is not fully satisfied. Using a linear tensor-gravity action for particles interacting with gravitational and electromagnetic fields, it analyz…
Generated abstract This paper studies crossed products of type II1 factors by finite groups of outer automorphisms, with emphasis on preservation of approximate finiteness for hyperfinite factors. It proves that if a separably acting type II1 factor is approximately finite, then its crossed product by a finite outer a…
Generated abstract This note studies finite separability in semigroups, distinguishing semigroups whose arbitrary subsets can be separated from exterior points by homomorphisms onto finite semigroups from those where only subsemigroups are required. It gives a general necessary and sufficient criterion in terms of fin…
Generated abstract This paper examines the applicability of Fokker Planck kinetic equations to rapid plasma processes when the random electric field has a finite correlation time. Using a simplified one-dimensional homogeneous model, the authors show that the particle velocity alone is generally a non-Markov process, …
Generated abstract This paper examines an apparent paradox in plasma diffusion in axially symmetric toroidal magnetic traps, where rarefied plasma calculations suggested nonambipolar self-diffusion and diffusion coefficients depending on like-particle collision frequencies. Using the drift kinetic equation, conservati…
Generated abstract This paper examines how the real electrical and defect structure of solid surfaces influences the formation and properties of liquid and solid boundary layers. Drawing on electron microscopic decoration studies and experiments on oriented nucleation through amorphous films, it argues that charged su…
Generated abstract This paper reports a calorimetric determination of the electron temperature behind the front of a collisionless shock wave in hydrogen plasma. The method infers the post-front temperature from the delayed increase in charged-particle concentration caused by inelastic ionization losses of shock-heate…
Generated abstract The paper studies elliptic boundary value problems for properly elliptic operators with boundary operators that cover the equation, without assuming that the boundary operator system is normal. It constructs a Green vector function for problems with finite dimensional solvability conditions, proves …
Generated abstract The paper studies general criteria for convergence of arbitrary, possibly non-Markovian stochastic processes to Markov diffusion processes. It compares three forms of assumptions on increments over intermediate time intervals: cyclic conditions involving recurrent state sets, high-probability sets o…
Generated abstract The paper studies selection problems for multivalued mappings whose values lie in complete systems of closed subsets of completely regular spaces, with emphasis on spaces having countable or sigma-discrete networks. It develops transfer results for selection properties under measurable homeomorphism…
Generated abstract The paper studies structural properties of R and Rc operations using Kurepa’s apparatus of ramified tables, with particular attention to countable tables, rigid bases, and chains of finite tuples. It establishes dichotomy results for countable subsets of such tables, proves that rigid Rc chains cons…
Generated abstract This paper studies homogeneous subsets of absolutes and the possibility of obtaining new extremally disconnected topological groups from orbits of ultrafilters under groups of homeomorphisms. It proves that such orbits are homogeneous extremally disconnected subspaces of the absolute, gives decompos…
Generated abstract This paper examines thermal processes in a tropical hurricane, focusing on how heat from a warm ocean surface supplies energy to the hurricane core between the outer boundary of the eye and the radius where vertical motion changes sign. Using a previously derived simplified hydrodynamic model, hypso…
Generated abstract This paper studies which topologies on a linearly ordered set make it a generalized continuum interval with the given order induced by connectedness. It establishes necessary and sufficient conditions for the existence of such Pi-topologies, notably excluding gaps and certain finite even partitions,…
Generated abstract This note gives new asymptotic mean value results for multiplicative functions under hypotheses on their values at primes and prime powers. A modification of earlier methods yields a general formula for sums of multiplicative functions, together with sufficient conditions involving angular restricti…
Generated abstract This paper studies a generalized Abel integral equation on the real line in Lebesgue spaces, with variable Hölder coefficients and a potential-type kernel. Using Fourier transform characterizations of fractional integration and properties of the singular Cauchy operator, it describes the range of th…
Generated abstract The paper studies preservation problems for strong paracompactness and strong metrizability under continuous mappings, focusing on the role of open closed sets rather than on openness or quasi monotonicity alone. It introduces Lambda mappings, defined by preservation of open closed sets and a finite…
Generated abstract This note studies lower and upper bounds for the complexity of normal algorithms associated with recognizing applicability on bounded words, deciding finite predicates, and computing or minimizing Boolean functions. Using the length of an algorithm representation as the complexity measure, it formul…
Generated abstract This note extends a cohomology construction for associative commutative unital algebras over a commutative unital ring by using the prime spectrum with the Zariski topology. For a subset of the spectrum, it defines subcomplexes of tensor powers consisting of elements that vanish near the subset, for…
Generated abstract This paper extends Sinai’s construction of invariant measures for two-dimensional toral Y-diffeomorphisms to Y-flows on compact three-dimensional manifolds with everywhere dense contracting and expanding foliations. It first establishes the existence of arbitrarily fine Markov partitions by regular …
Generated abstract The paper studies equivalence and singularity of probability measures generated by Hilbert space valued Gaussian functions. Using reproducing kernel Hilbert spaces associated with operator valued covariance kernels, it gives necessary and sufficient conditions for equivalence of two such Gaussian me…
Generated abstract This note studies the structure of optimal and equivalent mixed strategies in finite matrix games. Using an entropy-type maximization argument and the Kuhn-Tucker theorem, it proves that an optimal strategy, as well as strategies equivalent or approximately equivalent to arbitrary mixed strategies, …
Generated abstract This paper develops a method for solving the spatially homogeneous Boltzmann equation by expanding the distribution function in Hermite polynomials about a Maxwellian. For a quasi-Maxwellian molecular interaction model, the Boltzmann equation is reduced to a recurrent system of ordinary differential…
Generated abstract This note studies two subclasses of Turing machines whose computable predicate truth sets are representable by finite automata: two-way automata and machines operating in a bounded mode. It defines extremal functions measuring the number of states required in the corresponding reduced finite automat…
Generated abstract This note extends Dzhrbashyan’s Riemann-Liouville integro-differential generalizations of the Cauchy and Schwarz integral formulas from one complex variable to holomorphic functions on bounded convex complete circular domains in complex n-space. Using these formulas together with earlier integral re…
Generated abstract This paper studies Nemytskii superposition operators generated by Carathéodory functions on a broad class of modular spaces defined by pre-generalized and generalized functions, including weighted Lebesgue, Orlicz, Orlicz-Nakano, and Musielak-Orlicz type spaces. It gives necessary and sufficient int…
Generated abstract The paper addresses the problem of sorting an array of numbers without using an additional working area, beyond a bounded number of cells needed for exchanges. It develops a sequence of in-place procedures for interchanging blocks, merging two ordered subarrays, and arranging zones of fixed size, th…
Generated abstract This paper examines how donor and acceptor impurities affect the motion of individual dislocations in silicon, where high Peierls barriers make dislocation mobility strongly dependent on thermally activated processes. Using etch-pit measurements of isolated dislocation half-loops in bent silicon sin…
Generated abstract The paper studies continuous partitions of completely regular collectively normal spaces in relation to the uniform weight of the ambient space. After defining tau-discrete systems and uniform weight, it proves that if a collectively normal space has uniform weight tau, then for any continuous parti…
Generated abstract This paper studies higher order Bogolyubov and Krylov averaging approximations for ordinary differential equations on the whole time axis, with attention to solutions that remain bounded for all time. Using a theorem of Zabreiko, Kolesov, and Krasnoselskii on small bounded solutions, it establishes …
