Spring 2017: Probability and Statistics

We will meet 9-11am on Wednesdays in room 118 in 170 Hope Street. Papers and summaries will be on dropbox.

24 JanOrganizational meetingAll
31 JanContinuation methods and auto07p IBjorn
7 FebContinuation methods and auto07p IIBjorn
14 FebClassification algorithms IMelissa
21 FebClassification algorithms IIMelissa
28 FebFAT* conference talksKatie
7 MarGibbs random fieldsRebecca
14 MarClustering algorithmsXuefei
21 MarClustering algorithms/Information theoryXuefei/Stephanie

Previous group meetings

Fall 2017: Dynamics and Statistics

6 SepOrganizational meeting
13 SepParameter estimation: optimizationSteph
20 SepMarkov-Chain-Monte-Carlo methodsKatie
27 SepParameter estimation: application to FRAP data analysisBjorn
4 Octno meeting
11 OctParameter estimation: Sequential Monte-CarloKatie
18 OctParameter estimation: compressed sensingXuefei
25 OctParameter estimation: particle-based simulationsKaren
31 OctParallel computing with MatlabMelissa
7 NovParallel computing with Matlab (contd) / IDPs and career preparation Melissa/all
15 NovMulti-scale simulations of collective cell behavior, image analysis and machine learningDhananjay BhaskarDhananjay is in Ian Wong's lab in Engineeering

Spring 2017: Data science

1 FebOrganizational meeting
8 FebHedonometerKristina
15 FebData visualizationDavid Laidlaw (CS)
22 FebMachine learningMelissa
1 MarMachine learning 2All
8 MarGoogle's deep learning toolboxAng
15 MarDigital humanitiesMark Howison (Data Science Practice)
22 MarDigital humanities (continued)Ross, Stephanie
29 MarSpring break
5 AprTalkScott McKinley11am in room 108 in 170 Hope St
12 AprPersistent homologyVeronica
19 AprInference in Dynamical SystemsSayan MukherjeePattern theory seminar 12-1pm!!!
26 AprPersistent homologyAlexandria
3 MayCareers in industryChao

Fall 2016: Vegetation patterns

7 SepOrganizational meeting
14 SepOverview of vegetation patterns and modellingBjorn
21 SepPattern formation via amplitude equationsVeronica
28 SepPattern formation via amplitude equationsVeronica
5 Oct-- cancelled --
12 OctRhomboid pattern analysisBjorn
19 OctResearch overviewsBjorn, Katherine, Melissa
26 OctResearch overviewsAl, Chao, Veronica
2 NovResearch overviewsAng, Clayton, Kristina, Ross, Stephanie
9 Nov[Gowda et al.] paper
16 NovPower laws in experiments and models
23 NovTBD
30 NovLoalized vegetation patterns

Spring 2016: Nonlinear waves: spatial dynamics and Fredholm approaches

4 Feb Overview Bjorn
11 Feb Localized travelling waves Bjorn
18 Feb Wave trains Bjorn
25 Feb Melnikov theory Bjorn
3 Mar Melnikov theory Bjorn
10 Mar Fredholm theory Bjorn
17 Mar Patterns on growing domains Ryan Goh
24 Mar Fredholm theory Bjorn
31 Mar spring break
7 Apr Spatial dynamics Bjorn
14 Apr Spatial dynamics Bjorn
21 Apr Spatial dynamics Bjorn
5 May Outlook Bjorn

Fall 2015: Microscopic versus macroscopic models

DateTopic Speaker Notes
7 OctLocust swarms and continuum limitsBlake
14 OctOverview: continuum limitsJohn
21 OctResearch projectsAlexandria, Chao, Veronica
28 OctResearch projectsLiz, Paul, Blake, Bjorn
4 NovLarge systems of interacting particlesAlexandria and Veronica
11 NovWork out details: Large systems of interacting particlesAll
18 NovWork out details: Large systems of interacting particlesAll
2 DecWork out details: Large systems of interacting particlesAll

Spring 2015: Dynamics of networks

DateTopic Speaker Notes
29 JanOrganizational meetingAll
5 FebStatic networksAlexandria and Veronica
12 Feb snow day
19 FebStatic networksAlexandria and Veronica
26 FebDigression: nonlinear stabilityBjorn
5 MarSocial insectsBjorn and Paul
12 MarBrief research talkseveryone
19 MarBrief research talkseveryone
26 Mar spring break
2 AprOrganization of rest of semester
9 AprEcological networksMara
16 AprInfectious diseases on networks
23 AprInfectious diseases on networks
30 AprInfectious diseases on networks

Fall 2014: Traffic flow

DateTopic Speaker Notes
8 SepOrganizational meeting
15 SepOverview of traffic flow modelsBjornEvelyn Sander will be here (see below)
22 SepInitial-value problem solvers for hyperbolic-parabolic systemsBlake
29 SepSwarming and flockingAl
6 OctEquation-free analysisPaul
13 OctFall weekend/Columbus Day
20 OctFrom micro- to macroscopic modelsDave, David, and John
27 OctFrom micro- to macroscopic modelsDave, David, and John
3 NovData assimilationChao
10 Nov
17 NovStochastic modellingAl, David
24 NovChip firing and traffic modelsCaroline Klivans
1 DecPedestrian trafficVeronica
8 DecOrganizational meeting

Spring 2014: Stochastic slow-fast systems

DateTopic Speaker Notes
29 JanOrganizational meetingwe start at 3:30
5 FebGeometric singular perturbation theory for deterministic systemsBjorn
12 FebLarge deviations theoryDavid
19 Febno meeting
26 FebKramer's lawBjorn
5 MarAsymptotic analysis, Laplace's method, Stationary phaseJohn
12 MarKramer's law: 1D flowsAl
19 MarKramer's law: spectrum of Fokker-Planck operatorLiz
26 Marspring break

Fall 2013: Degree theory, Morse theory, variational methods, Conley index

DateTopic Speaker Notes
24 SepImplicit function theorem, continua of solutionsMiles
1 OctDegree theoryBjorn
8 OctApplications of degree theory, Leray-Schauder degreeBjorn
15 Octlong weekend
22 OctVariational methods: direct methods, mountain-passLaura
29 OctVariational methods: genus, Ljusternik-SchnirelmanAlexandria, Kelly
5 NovMorse indices, Wazewski's principleLiz
19 NovConley index or knots/braid theoryPaul
19 NovMorse theoryBjorn
26 Nov
3 DecDiscussion of LCDS workshop in May 2014
10 DecDiscussion of LCDS workshop in May 2014
18 DecInformal research discussionWed at noon

Spring 2013: Climate tipping points and stochastic resonances

DateTopic Speaker Notes
28 JanOrganizational meeting
4 FebSolving SDEs numericallyBjorn
11 FebClimate tipping as noisy bifurcationAndrew
18 Feblong weekend
25 FebRate-dependent tippingLaura
4 MarStochastic resonanceKelly
11 Marinformal discussion about researchabsent: Bjorn, Kelly
18 Marinformal discussion about researchabsent: Bjorn, Laura
25 Mar spring break
1 AprIce ages, Milankovich cycles, and ice sheetsPaul
8 Apr
11 AprApplications of tipping point analysesLizSpecial day and time: 10-12
15 Apr ICERM site visit
22 Aprresearch project overviews Kelly, Liz, and Paul
29 Aprresearch project overview, and outline of fall reading group Laura, Bjorn
6 Mayoutline of fall reading group Bjorn

Fall 2012: Lattice dynamical systems

DateTopic Speaker Notes
22 AugOrganizational meeting At 3pm in my office
10 SepOverview Bjorn
17 SepCenter manifolds and FPUAndrew Liz
24 SepPropagation failure Liz Kelly
1 OctDNLS Laura skype: Chris Chong
8 Oct Fall Weekend Holiday
15 OctStanding waves Kelly Liz
22 OctVariational methods Paul Kelly, Laura
29 Oct Kelly, Laura
5 Nov Kelly, Laura, Liz
12 NovMoving waves Bjorn
19 NovNonlinear stability Aaron
26 NovModulation equations Martina
3 Dec
10 DecDiscretization of PDEs Bjorn

Spring 2012: Networks and biological signalling pathways.

3 Feborganizational meeting
10 FebTyson's yeast cell cycle papersLiz
17 FebTyson's and Strogatz's paperLiz and Toan
24 FebKuramoto modelBjorn
2 MarCalcium dynamicsAndrew
9 MarBrief discussion of projectsKelly, Laura, Martina, ToanLiz is away
16 Marno meeting
23 Marorganization
30 MarSpring break
6 Aprsingular perturbation theory + synchronyBjorn
13 AprBelykh's papersLaura
20 AprGroupoidsLiz
27 AprGroupoidsKelly
4 MayLCDS workshop
11 MayKuramoto modelMartina

Fall 2011: Spatial dynamics, nonlinear waves, and numerical continuation methods.

23 SepOverview of spatial dynamicsBjornWe meet from 10-12
30 SepSpectral theory (rest states)Bjorn
7 OctSpectral theory (wave trains)BjornWe meet from 9-11
14 OctModulations of wave trainsBjorn
21 OctSpectral theory (pulses)Bjorn
28 OctNewton polygons, and Fredholm theoryKelly and Laura
4 NovConference at Brown
18 NovLyapunov-Schmidt + exponential dichotomies Bjorn
25 NovThanksgiving
2 DecAUTOBjorn
9 DecEPCONTBjorn