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Seminar on Stochastic Processes, 1989

BuchKartoniert, Paperback
216 Seiten
Englisch
Springererschienen am17.09.2011Softcover reprint of the original 1st ed. 1990
The1989SeminaronStochasticProcesseswasheldattheUniversityof CaliforniaatSanDiegoonMarch30,31andApril1,Hl89. Thiswastheninth inanannualseriesofmeetingswhichprovideresearcherswiththeopportunity todiscusscurrentworkonstochasticprocessesinaninformalandenjoyableat- mosphere. PreviousseminarswereheldatPrincetonUniversity,Northwestern University,theUniversityofFloridaandtheUniversityofVirginia. Theseminar hasgrownovertheyears,withatotalofseventy-fiveparticipantsin1989. Fol- lowingthesuccessfulformatofpreviousyears,therewerefiveinvitedlectures, deliveredby K. L. Chung,D. Dawson, R. Durrett,N. IkedaandT. Lyons,with theremainderoftimebeingdevotedtostructured,butlessformal,discussionson currentworkandproblems. Severalsmallergroupsalsoheldworkshopsessions onspecifictopicssuchas:mper-processes,diffusionsonfractalsandHarnack inequalities. Theparticipant. s'interestandenthusiasmcreatedalivelyandstim- ulatingcnvironmentfortheseminar. Asampleoftheresearchdiscussedthereis containedinthisvolume. Thc1989SeminarwasmadepossiblebythesupportoftheNationalScience Foundation,theNationalSecurityAgencyandtheUniversityofCaliforniaatSan Diego.\Yeextendourthankstothem,andtothepublishcrBirkhauserBoston, fortheirsupportandencouragemcnt. Finally,thanksgotoLynn\,yilliamsforher cheerfulassistancewiththeseminarorganizationandproductionofthisvolume. P. J. Fitzsimmons R. J. Williams LaJolla,1989 LISTOFPARTICIPANTS P. Arzberger M. Emery E. Perkins J. Pitman B. Atkinson S. N. Evans L. Pitt J. Azema N. Falkner M. Bachman P. Fitzsimmons A. O. Pittenger Z. Pop-Stojanovic M. Barlow R. K. Getoor R. Bass J. Glover S. Port C. Bezuidenhout H. Heyer P. Protter R. Blumenthal K. Hoffmann K. M. Rao G. Brosamler J. Horowitz J. Rosen C. Burdzy P. Hsu T. Salisbury D. Burkholder N. Ikeda M. J. Sharpe H. Cai O. Kallenberg C. T. Shih R. Carmona F. Knight A. Sznitman W. Chen-Masters Y. Kwon M. Taksar K. L. Chung T. Kurtz L. Taylor E. Cinlar T. Liggett S. J. Taylor M. Cranston T. Lyons G. Terdik R. Dalang P. March E. Toby R. DanteDeBlassie M. Marcus R. Tribe R. Darling P. McGill J. Walsh D. Dawson T. Mountford J. Watkins J. Deuschel B. Oksendal S. Weinryb N. Dinculeanu V. Papanicolaou R. Williams R. Durrett R. Pemantle Z. Zhao E. B. Dynkin M. Penrose W. Zheng TABLEOFCONTENTS R. F. BASS Aprobabilisticproofoftheboundary 1 and K.BURDZY Harnackprinciple J. -D. DEUSCHEL LogarithmicSobolevinequalitiesof 17 symmetricdiffusions S. N. EVANS RescalingthevacancyofaBoolean coverageprocess 23 TheBlumenthal-Getoor-McKean P. J. FITZSIMMONS, R. K. GETOOR Theoremrevisited 35 andM. J. SHARPE P. J. FITZSIMMONS Localtimes,occupationtimes,andthe Lebesguemeasureoftherangeofa andS. C.mehr
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KlappentextThe1989SeminaronStochasticProcesseswasheldattheUniversityof CaliforniaatSanDiegoonMarch30,31andApril1,Hl89. Thiswastheninth inanannualseriesofmeetingswhichprovideresearcherswiththeopportunity todiscusscurrentworkonstochasticprocessesinaninformalandenjoyableat- mosphere. PreviousseminarswereheldatPrincetonUniversity,Northwestern University,theUniversityofFloridaandtheUniversityofVirginia. Theseminar hasgrownovertheyears,withatotalofseventy-fiveparticipantsin1989. Fol- lowingthesuccessfulformatofpreviousyears,therewerefiveinvitedlectures, deliveredby K. L. Chung,D. Dawson, R. Durrett,N. IkedaandT. Lyons,with theremainderoftimebeingdevotedtostructured,butlessformal,discussionson currentworkandproblems. Severalsmallergroupsalsoheldworkshopsessions onspecifictopicssuchas:mper-processes,diffusionsonfractalsandHarnack inequalities. Theparticipant. s'interestandenthusiasmcreatedalivelyandstim- ulatingcnvironmentfortheseminar. Asampleoftheresearchdiscussedthereis containedinthisvolume. Thc1989SeminarwasmadepossiblebythesupportoftheNationalScience Foundation,theNationalSecurityAgencyandtheUniversityofCaliforniaatSan Diego.\Yeextendourthankstothem,andtothepublishcrBirkhauserBoston, fortheirsupportandencouragemcnt. Finally,thanksgotoLynn\,yilliamsforher cheerfulassistancewiththeseminarorganizationandproductionofthisvolume. P. J. Fitzsimmons R. J. Williams LaJolla,1989 LISTOFPARTICIPANTS P. Arzberger M. Emery E. Perkins J. Pitman B. Atkinson S. N. Evans L. Pitt J. Azema N. Falkner M. Bachman P. Fitzsimmons A. O. Pittenger Z. Pop-Stojanovic M. Barlow R. K. Getoor R. Bass J. Glover S. Port C. Bezuidenhout H. Heyer P. Protter R. Blumenthal K. Hoffmann K. M. Rao G. Brosamler J. Horowitz J. Rosen C. Burdzy P. Hsu T. Salisbury D. Burkholder N. Ikeda M. J. Sharpe H. Cai O. Kallenberg C. T. Shih R. Carmona F. Knight A. Sznitman W. Chen-Masters Y. Kwon M. Taksar K. L. Chung T. Kurtz L. Taylor E. Cinlar T. Liggett S. J. Taylor M. Cranston T. Lyons G. Terdik R. Dalang P. March E. Toby R. DanteDeBlassie M. Marcus R. Tribe R. Darling P. McGill J. Walsh D. Dawson T. Mountford J. Watkins J. Deuschel B. Oksendal S. Weinryb N. Dinculeanu V. Papanicolaou R. Williams R. Durrett R. Pemantle Z. Zhao E. B. Dynkin M. Penrose W. Zheng TABLEOFCONTENTS R. F. BASS Aprobabilisticproofoftheboundary 1 and K.BURDZY Harnackprinciple J. -D. DEUSCHEL LogarithmicSobolevinequalitiesof 17 symmetricdiffusions S. N. EVANS RescalingthevacancyofaBoolean coverageprocess 23 TheBlumenthal-Getoor-McKean P. J. FITZSIMMONS, R. K. GETOOR Theoremrevisited 35 andM. J. SHARPE P. J. FITZSIMMONS Localtimes,occupationtimes,andthe Lebesguemeasureoftherangeofa andS. C.
Details
ISBN/GTIN978-1-4612-8031-6
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2011
Erscheinungsdatum17.09.2011
AuflageSoftcover reprint of the original 1st ed. 1990
ReiheProgress in Probability
Seiten216 Seiten
SpracheEnglisch
IllustrationenVIII, 216 p.
Artikel-Nr.30142096

Inhalt/Kritik

Inhaltsverzeichnis
A probabilistic proof of the boundary Harnack principle.- Logarithmic Sobolev inequalities of symmetric diffusions.- Rescaling the vacancy of a Boolean coverage process.- The Blumenthal-Getoor-McKean Theorem revisited.- Local times, occupation times, and the Lebesgue measure of the range of a Levy process.- Martingale problems associated with the Boltzmann equation.- Probabilistic methods in differential geometry.- Probabilistic methods in Schrödinger equations.- Stochastic variational principle of Schrödinger processes.- The high contact principle in optimal stopping and stochastic waves.- Continuity of solutions of Schrödinger equation.- Stationary solutions for bilinear systems with constant coefficients.- Gaugeability for unbounded domains.- Correction to: Some formulas for the energy functional of a Markov process.mehr