{gbv> GL>

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 F n ~ (cmwHwȊw)C \G (tww@w@ wE񐔗w)C ͔ _i (cmwoϊww)C vۓc ({wHwʋ琔wn)C RI (cmwww)C 푺 GI (cmwHwȊw) M Nj (tww@ZHw{) W (ww@Ȋw) jFj16:45-18:15 ꏊF cmwgLpX4ZɓƗ D202 e񓙂܂ vۓc搶 m_Z~i[̃y[W ܂D [ɂ͒ǉ̏񂪍ڂꍇ܂D [OXgւ̓o^E߂܂D ܂łAD ʒm[Ŏ󂯎Ă邩ւ̂肢F [AhXς܂C ܂łAD ɁCtƏHCw̕ς Ɉs̃[悤łD

2019Nx

utF jF (wK@ww)

ځFL[YvZX̐Ɖp

F2020N203 (j)@16:4518:15

ꏊFcmwHw (LpX) 14631AEB iꏊʏƈقȂ܂j

TvF{͒AבiÓcmwjƂ̋łDn̐̉Zɂ萶Jオ̂Ȃ}RtAL[YvZXƌĂԁDʉL[YvZXlC̐ƉpɂāC̓_ȂǂɂĘ_D
(1) 핪z͐FtuQ descent statistics ƈvȂǁCgݍ킹_IȐD
(2) ʉtVbt̎ˉeƓzɂȂ邱ƂC(1)̐𗝉łD
(3) Pʋԏ̈lz̘a̕zCFtuQ̃fBZg̕z̍s񎮂ɂ\Ȃǂ̉pD

utF zc ^j (wHw)

ځF Coupling of multiple Schramm-Loewner evolution and Gaussian free field

F2020N120ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvFIt is known that Schramm-Loewner evolution (SLE) is coupled with Gaussian free field (GFF) to give a solution to the flow line problem for an imaginary surface. I will overview our recent work where we extended this coupling to the case of multiple SLE. There, we found that the SLE partition function that defines a multiple SLE and the boundary perturbation for GFF are determined essentially uniquely so that the associated multiple SLE and GFF are coupled with each other.

utF (Éww@Ȋw)

ځF Ergodic theoretic classification of q-central probability measures

F2019N129ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF Central probability measures due to Vershik and Kerov play an important role in asymptotic representation theory, and Gorin introduced those quantization, called q-central probability measures. In this talk, we investigate these from the viewpoint of ergodic theory. We particularly discuss a classification of ergodic q-central probability measures using certain invariants, called ratio sets.

utF _Y (ww)

ځFStructure condition𖞂Z~}Q[̐t@CiXIƂ̎

F2019N122ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF AZ~}Q[ S=S0+M+A ̗Lϓ A CǏ}Q[ M 2ϕɂĐΘAłC Radon-Nikodym h M 2ϕɂĊm1ŋǏ2ϕ̎ɁCS structure condition 𖞂ƂDS ɂĂ̊mϕɊւ鐫ŁCS structure condition ƓlȂ̂mĂD{uł́CChoulli and Stricker (1994) ͂߁C瓯lʂЉCɁC̓lȐǂCstructure condition łȂsAZ~}Q[ɂĂlɂȂ邩ɂĕ񍐂D

utFX (sww@w)

ځF}Rtߒ̌xɑ΂΍

F2019N1125ijj 16:4518:15

ꏊFcmwHw (LpX) 14631AEB iꏊʏƈقȂ܂j

TvF {uł́C̓Ɨȃ}Rtߒɑ΂xɂċc_sDP̊mߒɑ΂؍ݑx̗ގƂāC̓Ɨȃ}Rtߒɑ΂̋OՂ̋ʕ̑傫𑪂̂ƂČxlDKönig and Mukherjee (2013)suE^̏ꍇ̋c_ɂāCDirichlet̗_ɂXɑ̊mߒɑ΂ČxCԖł̑΍Ƃ\ɂȂƂqׂDԂ΋̗ɂĂЉD

utF [ (ww@bHw)

ځFLevyߒɑ΂ː헪̍œKɂ

F2019N1111ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF{uł͎{܂ de Finetti ̍œKzD̓Iɂ́C̃fLévyߒ̋ꍇCzƎ{̎xƂēː헪œK헪ƂȂ邱ƂD{u̎匋ʂ́CAvram et alD(2007) Theorem 3 (XyNgLévyߒ̃P[X)Bayraktar et alD(2013) Theorem 3D1 (XyNgLévyߒ̃P[X)̈ʉɓDѐXyNgLévyߒ̃P[Xł́Cː헪̔zƎ{ɊւҐ݉lXP[֐ŕ\ƂōœK̏ؖsȂCʂ̏ꍇł̓XP[֐p邱Ƃ͂łȂD̂߁C{uł͐VȕW{H͂̎@𓱓邱ƂɂCҐ݉l̐D

utF퉪 Y (sww@w)

ځFStochastic quantization associated with the $\exp(\Phi)_2$-quantum field model driven by space-time white noise on the torus

F2019N1028ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF Hoegh-KrohnfƌĂ΂w֐ɂ鑊ݍpʎqꃂf2g[Xŗ^C̊mʎqlD̃f͂܂ŃfBNpc_ȂĂ̂ł邪C{uł͍ŋߐɌȂĂقȊmΔ̎@pċc_sD̎@ɂmʎq̎ԑƂ̕sϑx\CɃfBN瓾gUߒƂ̊֌WɂčlĎ͉͔ _i (cmw)Ɛ so (Bw)Ƃ̋łD

utF{c D (ww@Ȋw)

ځFւmaUq̋Iɂ

F2019N1021ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF Uq͓v͊wɗRMۂ̔IfłCwIɂ͑̐Uq(q)Ȃn~gnƂĒD{uł́CxCyԖڂ̐Uq̑݊ԗ͂ |x-y|^{-}CƁ1 ł悤ȒւmaUq̋ICɁCn̉^ʁCMGlM[z̋IԔW@ɂĂ̌ʂЉD݊ԗ͂wIꍇ̌ʂ͊ɒmĂCŋߐڃfƋI͖{IɕςȂDu҂ Ɓ3 łƂCփf̋I͍ŋߐڃfƈقȂ邱ƂCLϐz̎ԔW@Ƃ superballistic waveequationCy fractional diffusion equation ꂼꓱoD

utF_ (Bww@w@)

ځFStochastic flows and rough differential equations on foliated spaces

F2019N107ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF In this talk we construct stochastic flows associated with SDEs on compact foliated spaces via rough path theoryD

In 2015 Suzaki constructed gleafwise diffusion processeshon compact foliated spaces via SDE theoryDHoweverCit is not known whether the stochastic flows associated to them exist or notDThe main difficulty is in showing the existence of continuous modificationsDThe reason is that Kolmogorov-Centsov criterion is not available in this case since a foliated space is just a locally compact metric spaceD

From the viewpoint of rough path theoryChoweverCthere is in fact not much difficulty here and this problem is naturally and easily solvedD

Since stochastic flows play a very important role in stochastic analysis on manifoldsCwe hope our result would open the door for stochastic analysis on foliated spacesD

This is an ongoing joint work with Kiyotaka SUZAKI (Kumamoto UnivD)

utF| o (lww@Hw@)

ځF̋_EH[N̋Ɍɂ

F2019N930ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF_EH[N(Reinforced Random Walks)́CEH[J[Ot̊eӂɗ^ꂽd݂ɔႵmŐڂCEH[J[ʂӂ̏d݂𑝉ƂfłDOtłꍇCӂf邽тɏd݂c>0^_EH[NɂẮCTakeshima (2000)ɂċɌ̔^ĂDCd݂̑₵f񐔂ɑ΂Ĕ^Ȋ֐̏ꍇCǂ̂悤ȋɌRƂȂꍇDavis (1989)ȗcĂD̖ɊւāCԖxYEAndrea CollevecchioƂ̋œꂽʂЉD

utFFrank den Hollander (Leiden University)

ځFLarge deviations for the Wiener sausage

F2019N722ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF Let $\beta = (\beta_s)_{s \geq 0}$ be Brownian motion on $\mathbb{R}^d$DThe Wiener sausage at time $t$ is the set $W_t = \cup_{s \in [0Ct]} B_1(\beta_s)$Cwhere $B_1(x)$ is the closed ball of unit radius centred at $x$DThe asymptotic behaviour of $W_t$ as $t \to \infty$ has been the subject of intensive study in past yearsDOne of the reasons is that the Wiener sausage is one of the simplest non-Markovian functionals of Brownian motionDIn this talk we focus on the volume and the capacity of $W_t$DWe show that both satisfy a downward large deviation principle with a rate that depends on $d$DWe identify the rate functions in terms of variational formulas and analyse their scaling propertiesDThe main technique that is used to derive the large deviation principle is a skeleton approach'DHere the path of the Brownian motion is coarse-grainedCand large deviations of the resulting skeleton of Brownian motion are transferred to large deviations of the volume and the capacity of the Wiener sausageD

Joint work with Michiel van den Berg (Bristol) and Erwin Bolthausen (Zurich)DNo prior knowledge of large deviation theory is requiredD

utF mV (University of CaliforniaCSanta Barbara)

ځFDirected chain stochastic differential equations

F2019N715ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvFWe propose a class of particle systems of diffusion processes in the infinite directed chain graphDWe describe the system by an infinite-dimensionalCnonlinear stochastic differential equation of McKean-Vlasov typeDIt has both (i) a local chain interaction and (ii) a mean-field interactionDThe system can be approximated by a limit of finitely many particle systemCas the number of particles go to infinityCwhere the propagation of chaos does not necessarily holdDIt can be seen as an extreme case of interacting diffusion with the first order Markov property in a large sparse graphDFurthermoreCwe exhibit a dichotomy of presence or absence of mean-field interactionCand we discuss the problem of detecting its presence from the observation of a single component process through the filtering equation of Kushner-Stratonovich typeDIf time permitsCwe also discuss some extension of interactions to the tree structure and connection to the local equation in the study of large sparse networks of interacting diffusion by LackerCRamanan and Wu (2019)Cand a stochastic game of mean-field type with infinitely many playersDThis is a part of research with NDDetering and JD-PDFouqueD

utFyc (hqwZwQ)

ځFGreen-tight measures of Kato class and compact embedding theorem for symmetric Markov processes

F2019N708ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF|cɂāCI]xgtF[őΏ̉xO[ٖȉNXɑΏ̃}Rtߒ̔QRpNgɂȂ邱ƂCpĂRpNgߍݒ藝ؖꂽD̒藝͉@IĊ֐̑΍𓱂ŔɏdvȂ̂łD{uł́C]xgtF[アڊ֐Ώ̉xɊւĐΘAłƂ̂ƂŁC̃RpNgߍݒ藝邱ƂƐVqׂDɁC̏ؖɂĕKvƂȂ2ӖŃO[ٖȉNX̓lɂĂqׂD{u͌K]m()Ƃ̋ɊÂD

utFg (ّwHw)

ځFModerate deviation principles on covering graphs of polynomial volume growth and its applications

F2019N71ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvFׂ핢OtƂׂ͂Q핢ϊQƂ悤Ȕ핢Ot̂ƂCiq̎L閳Oẗʉɑ闣UfłD{ułׂ͂핢Ot̃_EH[NɊւĒ΍藧Ƃʂ񍐂D΍Ƃ́C吔̖@ƒSɌ藝̔Cӂ̒ԃXP[̉ł̊mLqɌ藝łD{uł͂̏ؖ͂̂ƁC΍̃[g֐Ƀ_EH[N̐ڊm܂Aol[[vʂIɌ铙C􉽊wIǂ̂悤ɋɌ藝ɉe^邩ɒӂȂbDԂ΁C΍̉pƂĂׂ핢Ot(Ċ֐)dΐ̖@邱ƂɂĂG\łD

utFpc g (ww@w)

ځFl̏̃_P̂̕Bettiɑ΂吔̖@ɂ

F2019N624ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF{uł͑l̏Poisson_ߒlCPoisson_ߒ̊e_𒆐SƂB̘aW̃g|W[ɂċc_D̓Iɂ́CM͊wIԂƂ΂ݒ̉ŁC̋B̘aWBettiɑ΂吔̖@ɂĐsDԂ΃p[VXegzW[ւ̉pɂĂЉD{uAkshay GoelKhanh Duy TrinhƂ̋ɊÂD

utF F (_ˑww@w)

ځFGauss^Mj]̉ł̃GlM[xِ̓

F2019N617ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF{ułMathav Murugan (University of British Columbia)ƍu҂̍ŋ߂̋œꂽCʂ̊nǏIΏDirichletԂɑ΂C㉺̗Gauss^Mj]̓GlM[x̎QƑxɊւِ𓱂Ƃʂ񍐂DȑtN^̎RȎȑiXP[sϐjDirichletɑ΂ẮC퉪(1989C1993)CBen-BassatCStrichartz and Teplyaev (1999)C(2005)C-(2006)̌ʂɂ葽̏ꍇɃGlM[x͎ȑxɊւقł邱ƂmĂ邪Čʂ͂Ԃ̎ȑɑ傫ˑĂDۂɂ͋Ԃ̎ȑȂƂCGauss^Mj]ƌĂ΂tN^̊gUߒɑ΂ēT^Iɐ藧̂Ɠľ̔Mj]Ă΁Cʂ̋ǏIΏDirichletԂɂĂGlM[xِ̓͏]Ɨ\zĂCNɓnĖłD{u̎匋ʂ̗͂\zmIɉ̂łD

utFi L (ww@bHw)

ځFAsymptotic expansion of the density for hypoelliptic rough differential equation

F2019N610ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF{uł́C񐮐Brown^ɂ쓮mlDtpX͂pĒ莮̉́CRȉ̉ŁCzxƂmĂD̕zx̒ZԂɂQߋɂēꂽʂЉD܂CԂ΁C藝Kp\ȓT^ɂĂЉD{úCl (Bw)Ƃ̋ɊÂD

utFc g (kww@w)

ځFCutoff for product replacement on finite groups

F2019N603ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF^ꂽLQ̌IɈlTvOƂ́CLQ_Ɨ_Rs[^ȊwƂ̊֘AŌĂDProduct replacement algorithmƌĂ΂郉_algorithm͂1łCTCYn̐nŜ̏W̏̃}RtAŁC̏̈lzɎ̂łD̃}RtA͂NX̃}RtȂ1łCSOt̐ł̂鑊ݍpqnƂ݂Ȃ(kinetically constrained model̈)D͂̃}RtA̍Ԃɂēꂽ(Peres-u-Zhai)bD܂̖͂̈قȂ鑤ʂ(_)Rs[^(Ȋw)ƊւĂD{uł͂ɂĂo邾ڂbD

utF{ (ww@Ȋw)

ځFO'HaraGlM[̃_ȗUƘAɌ

F2019N527ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF{uł́CO'HaraGlM[̊mϐp_ȗUGlM[^C̎ƃRpNgɂċc_DO'HaraGlM[Ƃ́Cіڂɑ΂ĒĊ֐ŁCeіڂ̃NXiArGgEC\gs[ɂĂ̓lށjɑ΂WIȌCϕI@ɂړIŒ񏥂ꂽD̎w̏ꍇCrEXϊɂsϐꂽƂCrEXGlM[ƌĂ΂Dŏ̌͂̂߂ɁC܂łɗlXȃrEXGlM[ɑ΂闣UĂ邪C]̗Uł͘AGlM[ւ̃܂ł݂̂ĂȂD{uł́CO'HaraGlM[̊mϐp"_"ȗUߎ𓱓邱ƂɂCœKA_ɊÂԂɂ闣UGlM["Ǐl"Cɂ"RpNg"ƂɐƂ񍐂D

utFM Nj (tww@w@)

ځFEigenvalue process of Ginibre ensemble and Overlaps of their eigenvectors

F2019N520ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

utFc Ύ (ww@Ȋw)

ځFWeak Poincare inequalities on path spaces: non-explosion case

F2019N513ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF[}l̏̎n_^ꂽAȓ̋(pX)ɂ̓uE^̎RȊmx݂D̃pXԏ̔păfBN܂Cl̂̃bȗLEȂ΁C̃fBNɑ΂đΐ\{tsȂǂƂʂmĂDLEOĂ܂ƁCΐ\{tŝ悤Ȃ悢s͖̐]߂ȂCWeak Poincare inequalityƂ΂|AJsƃfBN̊񐫂Ԃ悤ȕs̐͊҂CہCRicciȗɑ΂邠鉼̉CFeng-Yu Wang₻̎ӂ̐lɂCs̐ĂDނ̏ؖ́CClark-Ocone formulap̂łCނ̉̉uE^͕ۑIɂȂDuE^̔񔚔݂̏̂ŁCWeak Poincare inequality̐\zł邪CClark-Ocone formulapc_݂̂ł́C悤ɎvD̍uł́Cm̉̐(tpX̔Ċ֐ƂĂ̘A藝)p̖ւ̃Av[ɂĐD

utF A (cmww)

ځFǂ̐Ԋuɑ΂mf

F2019N422ijj 16:4518:15

ꏊFcmwgLpX4ZɓƗD202

TvF ǂ̐ԊuƂ́C̂󂯂Ă瑼̌̂܂ł̎ԊԊûƂłD̊TO𖾊mɂ邽߂ɁC̎ԕωƏWcɂ̊Ԃ̃_ȐڐG𓯎ɍlȒPȊmf莮Dɂ̃fpāCǂ̊{ĐYƁCs̐VKҐ̎wIxƂ̊֌WCmz̃[g֐ʂė^𓱂D̊mźCɒ`Ԋu̕zɂĐڐGpx\p[^[ɋ߂ÂēɌzłD

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{gbv> GL>