45 research outputs found
Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations
No full textWe study stochastic Hamilton-Jacobi-Bellman equations and the
corresponding Hamiltonian systems driven by jump-type Lévy processes.
The main objective of the present paper is to show existence,
uniqueness and a (locally in time) diffeomorphism property of the solution:
the solution trajectory of the system is a diffeomorphism as a
function of the initial momentum. This result enables us to implement
a stochastic version of the classical method of characteristics for the
Hamilton-Jacobi equations. An –in itself interesting– auxiliary result
are pointwise a.s. estimates for iterated stochastic integrals driven by
a vector of not necessarily independent jump-type semimartingales
Transience and non-explosion of certain stochastic Newtonian systems
No full textWe give sufficient conditions for non-explosion and transience of the solution (xt,pt)
(in dimensions >= 3) to a stochastic Newtonian system of the form
{ dxdt = ptdt
dpt = -δV(xt)/δx dt - δc(xt)/δx dξt
where {ξt}t>=0 is a d-dimensional Lévy process, dξt is an Itô differential and c ∈ C2(Rd,Rd),
V ∈ C2(Rd,R) such that V >= 0
The CFT6 origin of all tree-level 4-point correlators in AdS3 x S3
No full text© 2020, The Author(s). We provide strong evidence that all tree-level 4-point holographic correlators in AdS 3× S3 are constrained by a hidden 6D conformal symmetry. This property has been discovered in the AdS 5× S5 context and noticed in the tensor multiplet subsector of the AdS3× S3 theory. Here we extend it to general AdS3× S3 correlators which contain also the chiral primary operators of spin zero and one that sit in the gravity multiplet. The key observation is that the 6D conformal primary field associated with these operators is not a scalar but a self-dual 3-form primary. As an example, we focus on the correlators involving two fields in the tensor multiplets and two in the gravity multiplet and show that all such correlators are encoded in a conformal 6D correlator between two scalars and two self-dual 3-forms, which is determined by three functions of the cross ratios. We fix these three functions by comparing with the results of the simplest correlators derived from an explicit supergravity calculation
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Stochastic and asymptotic analysis applied to the study of stochastic models of classical and quantum machanics
No full textApplying WKB method we obtain multiplicative small time and semiclassical asymptotics for Green functions (fundamental solutions) and for the solutions of Cauchy problem for the stochastic heat equation driven by a Levy noise. The relevant theory of stochastic Hamilton systems and Hamilton-Jacobi equations is developed.
We also give conditions for non-explosion of solutions of Newton systems driven by a Levy noise and conditions for transience of solutions of such systems driven by a-stable noise. As a solution of particular Newton system we consider a-stable Ornstein-Uhlenbeck process for which we estimate the rate of escape. The connections between the objects studied in this theses are shown on the scheme at page V
Medico-social aspects of the prevalence of malignant neoplasms of the woman reproductive system
No full textДивисенко А.С., ассистент кафедры общественного
здоровья и здравоохранения, Челябинская
государственная медицинская академия (Челябинск);
e-mail: [email protected]. Divisenko A.S., assistant of the department of the
community health and health care Chelyabinsk state
medical academy (Chelyabinsk); e-mail: mwozzo@
mail.ru. Маркина А.Ю., ассистент кафедры общественного
здоровья и здравоохранения, Челябинская
государственная медицинская академия (Челябинск);
e-mail: [email protected]
Markina A.Yu., assistant of the department of the
community health and health care Chelyabinsk state
medical academy (Chelyabinsk); e-mail: markina_
alenka @mail.ru. Тюков Ю.А., доктор медицинских наук, профессор,
заведующий кафедрой общественного здоровья
и здравоохранения, Челябинская государственная
медицинская академия (Челябинск); e-mail:
[email protected]
Tyukov Yu.A., doctor of medical sciences, the
head of the department of the community health and
health care Chelyabinsk state medical academy (Chelyabinsk);
e-mail: [email protected]. Мельников В.В., кандидат медицинских
наук, доцент кафедры общественного здоровья
и здравоохранения, Челябинская государственная
медицинская академия (Челябинск); e-mail:
[email protected]
Melnikov V.V., the candidate of medical sciences,
lecturer of the department of the community health
and health care Chelyabinsk state medical academy
(Chelyabinsk); e-mail: [email protected]Изучены структура и уровень распространенности злокачественных новообразований
репродуктивной системы женщин в разных странах. The structure and the level of prevalence of malignant
neoplasms of the woman reproductive system
in different countries has been studied
A high-resolution detector based on liquid-core scintillating fibres with readout via an electron-bombarded charge-coupled device
No full textThis paper is a presentation of results from tests in a 5 GeV/c hadron beam of detectors based on liquid-core scintillating fibres, each fibre consisting of a glass capillary filled with organic liquid scintillator. Fibre readout was performed via an Electron-Bombarded Charge-Coupled Device (EBCCD) image tube, a novel instrument that combines the functions of a high-gain, gated image intensifier and a Charge-Coupled Device. Using 1-methylnaphthalene doped with 3 g/l of R45 as liquid scintillator, the attenuation lengths obtained for light propagation over distances greater than 16 cm were 1.5 m in fibres of 20 mu m core and 1.0 m in fibres of 16 mu m core. For particles that crossed the fibres of 20 mu m core at distances of similar to 1.8 cm and similar to 95 cm from the fibres' readout ends, the recorded hit densities were 5.3 mm(-1) and 2.5 mm(-1) respectively. Using 1-methylnaphthalene doped with 3.6 g/l of R39 as liquid scintillator and fibres of 75 mu m core, the hit density obtained for particles that crossed the fibres at a distance of similar to 1.8 cm from their readout ends was 8.5 mm(-1). With a specially designed bundle of tapered fibres, having core diameters that smoothly increase from 16 mu m to 75 mu m, a spatial precision of 6 mu m was measured
Boundary-value problems for Hamiltonian systems and absolute minimizers in calculus of variations
No full textWe apply the method of Hamilton shooting to obtain the well-posedness of boundary value problems for certain Hamiltonian systems and
some estimates for their solutions. The examples of Hamiltonian functions
covered by the method include elliptic polynomials and exponentially growing
functions. As a consequence we prove global existence, smoothness and almost
everywhere uniqueness of absolute minimizers in the corresponding problem
of calculus of variations and hence construct the global field of extremals
DYNAMICAL FERMION MASSES UNDER THE INFLUENCE OF KALUZA–KLEIN FERMIONS AND A BULK ABELIAN GAUGE FIELD
No full text The dynamical fermion mass generation on the 3-brane in the 5D spacetime is discussed in a model with bulk fermions in interaction with fermions on the branes assuming the presence of a constant Abelian gauge field A5 in the bulk. We calculate the effective potential as a function of the fermion masses and the gauge field A5. The masses can be found from the stationarity condition for the effective potential (the gap equation). We formulate the equation for the mass spectrum of the 4D-fermions. The phases with finite and vanishing fermion masses are studied and the dependence of the masses on the radius of the fifth dimension is analyzed. The influence of the A5-gauge field on the symmetry breaking is considered both when this field is a background parameter and a dynamical variable. The critical values of the A5 field, the coupling constant and the radius are examined. </jats:p
