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Invariance times transfer properties

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Probability, Uncertainty and Quantitative Risk 2024年第4期9卷 431-452页

作者： Stéphane Crepey Laboratoire de Probabilites Statistique et Modelisation(LPSM)Sorbonne Universitéet Universite Paris CiteCNRS UMR 800lParisFrance

Invariance times are stopping times T such that local martingales with respect to some reduced filtration and an equivalently changed probability measure,stopped before T,are local martingales with respect to the original model filtration and probability *** arise naturally for modeling the default time of a dealer bank,in the mathematical finance context of counterparty credit *** an invariance time endowed with an intensity and a positive Azéma supermartingale,this work establishes a dictionary relating the semimartingale calculi in the original and reduced stochastic bases,regarding conditional expectations,martingales,stochastic integrals,random mcasure stochastic integrals,martingale rcprcscntation propertics,scmimartingalc characteristics,Markov properties,transition semigroups and infinitesimal generators,and solutions of backward stochastic differential equations.

关键词： Progressive enlargement of filtration Invariance time Semimartingale calculus Markov process Backward stochastic differential equation Counterparty risk Credit risk

Auger effect in weakly confined nanocrystals

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Light(Science & Applications) 2023年第8期12卷 1454-1456页

作者： Jiawen Liu Laurent Coolen Laboratoire de Physique de I'Ecole Normale Superieure ENSUniversite PSLCNRSSorbonne UniversiteUniversite Paris CiteF-75005 ParisFrance Sorbonne universite CNRSInstitut de NanoSciences de ParisINSPF-75005 ParisFrance

An extensive analysis of biexciton luminescence in high-quality,large perovskite CsPbBr_(3) nanocrystals shows how the biexciton Auger decay rate deviates from the"universal"volume scaling as the exciton confinement b... 详细信息

关键词： weakly confined perovskite

A fully abstract semantics for value-passing CCS for trees

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Frontiers of Computer Science 2019年第4期13卷 828-849页

作者： Ying JIANG Shichao LIU Thomas EHRHARD State Key Laboratory of Computer Science Institute of Software Chinese Academy of Sciences Beijing 100190 China university of Chinese Academy of Sciences Beijing 100049 China CNRS IRIF UMR 8243 Univ Paris Diderot Sorbonne Paris Cite F-75205 Paris France

We propose a fully abstract semantics for valuepassing CCS for trees (VCCTS) with the feature that processes are located at the vertices of a graph whose edges describe possible interaction capabilities. The operational semantics is given both in terms of a reduction semantics and in terms of a labelled transition semantics. We develop a theory of behavioral equivalences by introducing both weak barbed congruence and weak bisimilarity. In particular, we show that, on image-finite processes, weak barbed congruence coincides with weak bisimilarity. To illustrate potential applications and the powerful expressiveness of VCCTS, we formally compare VCCTS with some well-known models, e.g., dynamic pushdown networks, top-down tree automata and value-passing CCS.

关键词： process calculus non-interleaving semantics barbed congruence bisimulation

Two upper bounds for the Erdos-Hooley Delta-function

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Science China Mathematics 2023年第12期66卷 2683-2692页

作者： Regis de la Breteche Gerald Tenenbaum Institut de Mathematiques Universite Paris CiteSorbonne UniversiteCNRSParis F-75013France Institut Elie Cartan Universite de LorraineVandoeuvre-les-NancyBP 70239France

For integer n≥1 and real u,let Δ(n,u):=|{d:d] n,e^(u) 详细信息

For integer n≥1 and real u,let Δ(n,u):=|{d:d] n,e^(u)

关键词： concentration of divisors average order normal order Waring’s problem

Recovering Navier–Stokes Equations from Asymptotic Limits of the Boltzmann Gas Mixture Equation

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Communications in Theoretical Physics 2016年第5期65卷 553-562页

作者： Carlo Bianca Christian Dogbe Laboratoire de Physique Statistique Ecole Normale Superieure PSL Research University University Paris Diderot Sorbonne Paris-Cite Sorbonne Universites UPMC Univ Paris 06 CNRS Department of Mathematics Universite de Caen Normandie LMNOCNRS

This paper is devoted to the derivation of macroscopic fluid dynamics from the Boltzmann mesoscopic dynamics of a binary mixture of hard-sphere gas *** the hydrodynamics limit is performed by employing different time and space *** paper shows that,depending on the magnitude of the parameters which define the scaling,the macroscopic quantities(number density,mean velocity and local temperature)are solutions of the acoustic equation,the linear incompressible Euler equation and the incompressible Navier–Stokes *** derivation is formally tackled by the recent moment method proposed by[***,et al.,***.63(1991)323]and the results generalize the analysis performed in[***,et al.,*** ***.29(2015)240].

关键词： gas mixtures hydrodynamic limit asymptotic limit fluid equation conservation law

Simulation study on cosmic ray background at large zenith angle based on GRANDProto35 coincidence array experiment

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Nuclear Science and Techniques 2021年第1期32卷 35-45页

作者： Xiang-Li Qian Xu Wang Hui-Ying Sun Zhen Wang Olivier Martineau-Huynh School of Intelligent Engineering Shandong Management UniversityJinan 250357China Tsung-Dao Lee Institute Shanghai Jiao Tong UniversityShanghai 200240China Sorbonne paris cite CNRS/IN2P3LPNHESorbonne UniversiteUniversite Paris DiderotParisFrance

Neutrino detection in the 100 PeV energy region is the ultimate means of studying the origin of ultra-highenergy cosmic rays,in which the large radio detection array giant radio array for neutrino detection(GRAND)project aims to use to decipher this century-old *** GRANDProto35 compact array is a microform of 35 radio prototype detectors for the GRAND experiment,which verifies the reliability of GRAND performance through operation,and data analysis of the prototype *** radio detectors are a novel development in recent years,and their indexes need to be verified by traditional detectors,the GRAND Cooperation Group designed and constructed the GRANDProto35 coincidence array composed of radio detectors and scintillation *** study simulated the changes in detection efficiency,effective area,and event rate of cosmic rays with zenith angle based on this coincidence *** study found that the 1017 eV energy region is sensitive to GRANDProto35 *** the energy exceeded 1017 eV,the array detection efficiency could reach more than 95%and the effective area was up to*29106 m2.A simulation study on cosmic ray events with large zenith angles showed that the event rate detected by the array decreased significantly with increasing zenith angle,and the event rate of cosmic rays was approximately 0.1 per day for a zenith angle of 75.This serves as the background pollution rate for neutrino observation caused by largeangle cosmic-ray events,providing an important reference for further *** study results will be verified after the joint operation of the coincidence array.

关键词： GRANDProto35 GEANT4 Scintillation detector Cosmic ray

Electrochemical synthesis and the functionalization of few layer graphene in ionic liquid and redox ionic liquid

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Science China Chemistry 2018年第5期61卷 598-603页

作者： Maria Gómez-Mingot Amarnath Chellachamy Anbalagan Hyacinthe Randriamahazaka Jalal Ghilane universite paris Diderot Sorbonne Paris Cite ITODYS UMR 7086 CNRS SIELE group Paris 75013 France Laboratoire de Chimie des Processus Biologiques UMR 8229 CNRS University Pierre et Marie Curie College de France Paris 75231 France Chemistry Division Bhabha Atomic Research Centre Trombay Mumbai 400085 India

Electrochemical reductive exfoliation of graphite to few layered graphene(FLG) in presence of 1-ethyl-2,3-dimethyl imidazolium bis(trifluoromethylsulfonyl) imide ionic liquid and redox ionic liquid based ferrocene has been investigated. Thus, by applying a mild negative potential(-2.7 V vs. Fc/Fc^+) to carbon electrode in ionic liquid graphene flakes could be generated. The generated materials have been characterized by X-ray photoelectron spectroscopy, Raman spectroscopy, high resolution transmission electron microscopy and atomic force microscopy. XPS and Raman analysis show that the electrochemical reductive exfoliation provides the formation of FLG. The thickness of the resulting FLG was found to be ranged between 4 and1 nm. HR-TEM images reveal the formation of few graphene layers and in some cases single graphene layer was ***, this electrochemical route conduces to the formation of ionic liquid functionalized FLG. Finally, the reductive exfoliation was further investigated in the presence of redox ionic liquid. XPS and electrochemical measurements confirm the presence of ferrocene.

关键词： electrochemistry reductive exfoliation ionic liquid graphene

Simulation study on performance optimization of a prototype scintillation detector for the GRANDProto35 experiment

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Nuclear Science and Techniques 2021年第5期32卷 71-83页

作者： Xiang-Li Qian Hui-Ying Sun Cheng Liu Xu Wang Olivier Martineau-Huynh School of Intelligent Engineering Shandong Management UniversityJinan 250357China Key Laboratory of Particle Astrophysics Institute of High Energy PhysicsChinese Academy of SciencesBeijing 100049China Sorbonne universite Universite Paris DiderotSorbonne Paris CiteCNRS/IN2P3LPNHEParisFrance

As a proposed detector,the giant radio array for neutrino detection(GRAND)is primarily designed to discover and study the origin of ultra-high-energy cosmic rays,with ultra-high-energy neutrinos presenting the main method for detecting ultra-high-energy cosmic rays and their *** main principle is to detect radio emissions generated by ultra-high-energy neutrinos interacting with the atmosphere as they *** is the largest neutrino detection array to be built in ***35,as the first stage of the GRAND experiment,is a coincidence array composed of radio antennas and a scintillation detector,the latter of which,as a traditional detector,is used to perform cross-validation with radio detection,thus verifying the radio detection efficiency and enabling study of the background exclusion *** study focused on the implementation of the optimization simulation and experimental testing of the performance of the prototype scintillation detector used in GRANDProto35.A package based on GEANT4 was used to simulate the details of the scintillation detector,including the optical properties of its materials,the height of the light guide box,and position *** surface of the scintillator and the reflective materials used in the detector was optimized,and the influence of light guide heights and position inhomogeneity on the energy and time resolutions of the detector was *** to the simulation study,the number of scintillator photoelectrons increased when changing from the polished surface to the ground surface,with the appropriate design height for the light guide box being 50 cm and the appropriate design area for the scintillator being 0.5 m^(2).The performance of the detector was tested in detail through a coincidence experiment,and the test results showed that the number of photoelectrons collected in the detector was$84 with a time resolution of~1 ns,indicating good *** simulation results were consistent with

关键词： GRANDProto35 GEANT4 Scintillation detector Light guide height Photoelectrons

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数字PCR在肿瘤基因突变检测中的应用

中华检验医学杂志 2016年第3期39卷 150-153页

作者： Heng Lu Valerie Taly universit4 paris Sorbonne cite Centre Universitaire desSaints-Peres

研究肿瘤的有效遗传特性和表观遗传改变需要高灵敏度和特异性的检测工具。然而，无论从灵敏度还是特异性上，传统的检测技术无法满足其所需水平。数字PCR（dPCR）突破传统检测的瓶颈达到稀有突变检测中前所未有的准确性。其通过将一个... 详细信息

研究肿瘤的有效遗传特性和表观遗传改变需要高灵敏度和特异性的检测工具。然而，无论从灵敏度还是特异性上，传统的检测技术无法满足其所需水平。数字PCR（dPCR）突破传统检测的瓶颈达到稀有突变检测中前所未有的准确性。其通过将一个样本分成百万到千万份，分配到不同反应单元且保证每一反应单元只包含一个目标分子的原理，得到绝对定量的数据。dPCR结合商业化的微流控技术，这种基于微滴原理的dPCR逐渐成为检测癌症患者的重要工具，其应用范围从肿瘤异质性检测到患者体液检测，尤其适用于液体活检分析。

关键词：聚合酶链反应微流体分析技术肿瘤 DNA突变分析活组织检查