?
Stochastic local volatility models and the Wei-Norman factorization method
Discrete and Continuous Dynamical Systems - Series S. 2022. Vol. 15. No. 12. P. 3699–3722.
Guerrero J., Orlando G.
In this paper, we show that a time-dependent local stochastic volatility (SLV) model can be reduced to a system of autonomous PDEs that can be solved using the heat kernel, by means of the Wei-Norman factorization method and Lie algebraic techniques. Then, we compare the results of traditional Monte Carlo simulations with the explicit solutions obtained by said techniques. This approach is new in the literature and, in addition to reducing a non-autonomous problem into an autonomous one, allows for shorter time in numerical computations.
Churakova I., Кумар В., Dianli Xitong Baohu yu Kongzhi/Power System Protection and Control 2026 No. 54 (3) P. 428–454
Purpose
This study examines the impact of Predictive Intelligence (PI) and Real-Time Data Insights (RDI) on Corporate Financial Sustainability (CFS), while controlling for organizational factors, industry factors, and AI-related risk factors. The research aims to determine whether these analytic capabilities (PI and RDI) individually and jointly contribute to long-term financial resilience and performance in modern organizations.
Theoretical ...
Added: September 4, 2026
Elyashevich I., Вестник Московского университета. Серия 6: Экономика 2026 Т. 61 № 3 С. 363–384
The study examined the properties of the normal distribution of the values of shipments of stocks of various categories from warehouses of large industrial companies. As a result, it was revealed that the use of the classical normal distribution, in some cases, may give incorrect results, since the values of stock shipments are positive values, ...
Added: September 3, 2026
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 2026
Методы оценки структурных изменений в векторных и матричных агрегатах макроэкономических показателей
Lesnykh M., Motorin V., Тенденции экономического развития в XXI веке: Материалы VIІІ Международной научно-практической конференции, Республик Беларусь 2026 P. 233–236
The paper deals with comparative analysis of various methods for measuring and studying dynamics of structural macroeconomic indicators that reflect the peculiarities in a movement of multi-component macroeconomic systems. The metric, trigonometric and angular measures of structural changes are considered within vector formalism. Intertemporal orthogonal decomposition of a vector aggregate into the sum of quantity ...
Added: September 3, 2026
Zaruckiy M., Motorin V., Тенденции экономического развития в XXI веке: Материалы VIІІ Международной научно-практической конференции 2026 P. 237–240
The paper is devoted to developing the complex of input–output models for evaluating a potential receptivity of an economy to import substitution in final use and intermediate consumption ...
Added: September 3, 2026
Koshcheev D., Isopeskul O., М.: Инфра-М, 2027.
государственным служащим.
The monograph presents the results of a comprehensive analysis of the evolution of research related to the assessment of the tourist potential of administrative-territorial units (ATUs) from 1882 to 2024. For the first time, scientific schools are identified, and the author's approach to predictive values and a methodology for the quantitative assessment of the ...
Added: September 3, 2026
М.: МАКС Пресс, 2026.
The book consists of materials submitted by Russian and Foreign scientists to the Organizing
Committee of the All-Russian Round Table “Logic and Paradoxes of Modern Education Manage
ment”. The round table was held at the Faculty of Sociology of Lomonosov Moscow State University
on June 08, 2026. The texts are published in author's edition. Organizing Committee`s point of ...
Added: September 2, 2026
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Proskuryakova L. N., Asia-Pacific Tech Monitor 2026 Vol. 43 No. 2 P. 13–24
Innovative financing tools and models have proved their efficiency in supporting the adoption and scale-up of emerging technologies. They have been instrumental in different regions, including the Asia-Pacific region, which stands at the forefront of technological innovation. Studies point to several persistent emerging technological constraints that include high upfront capital costs, perceived risks, and limited ...
Added: September 1, 2026
Tatarinov A., Вопросы статистики 2026 Т. 33 № 2 С. 19–39
The second part of the paper continues the examination of the new methodological provisions of the system of national accounts, building on the discussion initiated in the previous publication. It analyzes key changes in the accounting of economic transactions, with particular attention to digital services, globalization, the composition of production costs under the sum‑of‑costs valuation method, and ...
Added: September 1, 2026
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Abashkin V., Abdrakhmanova G., Artemov S. V. et al., ИСИЭЗ ВШЭ, 2026.
Одиннадцатый выпуск аналитического доклада, подготовленный Институтом статистических исследований и экономики знаний Национального исследовательского университета «Высшая школа экономики» в рамках деятельности Российской кластерной обсерватории, посвящен анализу инновационного развития российских регионов на основе комплекса рейтинговых оценок. Исследование базируется на системе показателей, характеризующих социально-экономические условия инновационной деятельности, научно-технический потенциал, уровни инновационной и экспортной активности, качество региональной инновационной
политики. Используемые ...
Added: September 1, 2026
A. A. Ponomarev, N. L. Aleksandrov, Physics of Plasmas 2024 Vol. 31 No. 4 Article 043517
The kinetics of O2- ions was numerically studied in He and Ar with a small admixture of O2 in a strong electric field through a Monte Carlo simulation. Cross-sections for elastic scattering between O2- ions and He and Ar atoms were determined by adjusting cross-section values to obtain good agreement between calculated and measured ion ...
Added: August 26, 2024
Kolokoltsov V., Lin F., Mijatovic A., Fractional Calculus and Applied Analysis 2021 Vol. 24 No. 1 P. 278–306
The paper is devoted to the numerical solutions of fractional PDEs
based on its probabilistic interpretation, that is, we construct approximate
solutions via certain Monte Carlo simulations. The main results represent
the upper bound of errors between the exact solution and the Monte Carlo
approximation, the estimate of the fluctuation via the appropriate central
limit theorem (CLT) and the construction ...
Added: October 29, 2021
Shchur L., / Series arXiv "math". 2021. No. 2107.02406.
In the late 80s and 90s, theoretical physicists of
the Landau Institute for Theoretical Physics designed and
developed several specialized computers for challenging
computational problems in the physics of phase transitions.
These computers did not have a central processing unit. They
optimize algorithms to handle elementary operations on
integers - read, write, compare, and count. The approach
allowed them to achieve recording ...
Added: July 26, 2021
Belomestny D., Schoenmakers J., Spokoiny V. et al., Communications in Mathematical Sciences 2020 Vol. 18 No. 1 P. 109–121
In this note we propose a new approach towards solving numerically optimal stopping problems via reinforced regression-based Monte Carlo algorithms. The main idea of the method is to reinforce standard linear regression algorithms in each backward induction step by adding new basis functions based on the previously estimated continuation values. The proposed methodology is illustrated ...
Added: November 18, 2020
Bayer C., Belomestny D., Redmann M. et al., Journal of Mathematical Analysis and Applications 2020 Vol. 490 No. 1 Article 124236
We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path W of Hölder regularity α with 1/3 < α ≤ 1/2. Based on a stochastic representation of the solution of the rough partial differential equation, we propose a ...
Added: May 22, 2020
Dumanski I., Feigin E., Finkelberg M. V., / Series math "arxiv.org". 2020. No. 2003.12930.
We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson- Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules of the current Lie algebra. ...
Added: April 2, 2020
Прудников В. В., Прудников П. В., Маляренко П. Н. et al., Журнал экспериментальной и теоретической физики 2020 Т. 157 № 2 С. 308–326
SImulations of the relaxation of the diluted Ising model from initial states with different magnetization have been done. We measure two-time autocorrelation function and dynamical susceptibility. We found the influence of the percolation threshold dominates the crossover behavior. ...
Added: February 20, 2020
Ponomarev A., Aleksandrov N. L., Journal of Physics D: Applied Physics 2020 Vol. 53 No. 5 Article 055203
The kinetics of and O− ions was addressed in air plasma in a rapidly time-varying electric field that is typical for nanosecond pulsed surface dielectric barrier discharges. Self-consistent sets of cross-sections for these ions in collisions with O2 and N2 molecules were developed. The Monte Carlo technique was used to calculate ion energy distribution, mean ion energy and reaction ...
Added: February 9, 2020
Burovskiy E., Janke W., Guskova M. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2019 Vol. 100 No. 6 P. 063303-1–063303-8
We study properties of Markov chain Monte Carlo simulations of classical spin models with local updates. We derive analytic expressions for the mean value of the acceptance rate of single-spin-flip algorithms for the one-dimensional Ising model. We find that for the Metropolis algorithm the average acceptance rate is a linear function of energy. We further provide numerical results ...
Added: November 5, 2019
Khoroshkin S. M., Nazarov M., , in: Advanced Studies in Pure Mathematics (т.76 Representations Theory, Special Functions and Painleve Equations - RIMS 2015)Vol. 76.: Tokyo: Mathematical Society of Japan, 2018. Ch. 8 P. 275–302.
Arakawa, Suzuki and Tsuchiya defined a correspondence between certain modules of the trigonometric Cherednik algebra CN depending on a parameter κ∈C, and certain modules of the affine Lie algebra slˆm of level κ−m. We give a detailed proof of this correspondence by working with the affine Lie algebra glˆm alongside of slˆm. We also relate ...
Added: October 8, 2019
Klimenkova O., Menshutin A., Shchur L., Computer Physics Communications 2019 Vol. 241 P. 28–32
We present a comparative study of several algorithms for an in-plane random walk with a variable step. The goal is to check the efficiency of the algorithm in case where the random walk terminates at some boundary. We recently found that a finite step of the random walk produces a bias in the hitting probability ...
Added: April 9, 2019
Александров Н. Л., Journal of Physics: Conference Series 2017 Vol. 927
Using Monte Carlo simulation, the translational relaxation of energetic O− ions produced by dissociative electron attachment to molecules was studied in water vapor plasmas in a strong electric field. Initial O− ions are energetic and are more reactive than the ions being in equilibrium with the electric field. Because of this, the energetic O− ions have a chance ...
Added: October 23, 2018