{ "153381-21915734": { "datetime_modified":"20261006T181240", "datetime_start":"20261021T160000", "datetime_end":"20261021T170000", "has_end_time":1, "date_start":"2026-10-21", "date_end":"2026-10-21", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Stochastic Models and Optimization for Dynamic Portfolio Management: A Compartment Framework for Financial Growth and Decision Support", "occurrence_title":"", "combined_title":"Stochastic Models and Optimization for Dynamic Portfolio Management: A Compartment Framework for Financial Growth and Decision Support: Tirupathi Rao Padi (Pondicherry University)", "event_subtitle":"Tirupathi Rao Padi (Pondicherry University)", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"Portfolio management is a dynamic decision-making problem characterized by uncertainty, evolving asset states, competing risk\u2013return objectives, and changing market conditions. This research develops an integrated stochastic and optimization framework for modelling financial growth and formulating investment policies by representing a portfolio as a dynamic compartmental system in which risky and non-risky assets undergo stochastic growth, loss, transformation, and migration. Univariate and bivariate birth\u2013death and migration processes, together with Markov and hidden-state modelling perspectives, are employed to characterize the probabilistic evolution and interactions of portfolio components.\n\nThe proposed framework systematically connects stochastic process modelling, probability analysis, statistical inference, nonlinear optimization, computational analysis, and decision support. Difference and differential equations are developed to describe portfolio dynamics, while probability-generating functions and moment-based methods are used to derive expectations, variances, covariances, and related measures under transient and steady-state conditions. These statistical characteristics subsequently serve as inputs to stochastic optimization models that address alternative investment objectives, including risk control, volatility management, portfolio diversification, and the determination of appropriate investment policy parameters.\n\nComputational experimentation and sensitivity analysis are incorporated to examine the effects of growth, loss, and transformation parameters on portfolio behavior, using real-world financial data to ground empirical exploration and model validation. The resulting framework provides a pathway from uncertainty modelling to quantitative risk assessment, prescriptive optimization, and intelligent decision support. The research is intended to stimulate interdisciplinary collaboration across Statistics, Stochastic Processes, Mathematical Finance, Operations Research, Optimization, Data Science, and Computational Modelling, with potential applications in real-data validation, software development, joint publications, and future research on scalable stochastic decision-support systems for contemporary financial management.", "occurrence_notes":null, "guid":"153381-21915734@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/153381", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"1360", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"", "sponsors":[ { "group_name":"Financial\/Actuarial Mathematics Seminar - Department of Mathematics", "group_id":"4890", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"", "styled_images":{ "event_thumb":"", "event_large":"", "event_large_2x":"", "event_large_lightbox":"", "group_thumb":"", "group_thumb_square":"", "group_large":"", "group_large_lightbox":"", "event_large_crop":"", "event_list":"", "event_list_2x":"", "event_grid":"", "event_grid_2x":"", "event_feature_large":"", "event_feature_thumb":"" }, "occurrence_count":1, "first_occurrence":21915734 } , "153830-21916417": { "datetime_modified":"20261019T125135", "datetime_start":"20261021T160000", "datetime_end":"20261021T170000", "has_end_time":1, "date_start":"2026-10-21", "date_end":"2026-10-21", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Student AIM Seminar: Asymptotics of Stokes flow in slightly curved and slender cylindrical channels", "occurrence_title":"", "combined_title":"Student AIM Seminar: Asymptotics of Stokes flow in slightly curved and slender cylindrical channels: Choco Li", "event_subtitle":"Choco Li", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"Flow through a network of interconnected channels creates ill-conditioned problems due to the multiply connected topology. Boundary integral equation methods are generally good tools in solving fluid problems by reducing degrees of freedom, but it is less ideal to handle this ill-conditioning due to its non-local representation. A scattering theory has been proposed to address this in 2D by approximating branches in a network as straight channels, in which the solution flow follow a \"rapid return to Poiseuille flow\" under pressure drop and no-slip wall condition [Wang 2026]. In this talk we will consider the applicability of this approximation in 3D by looking at the asymptotic problems of two specific cases of Stokes flow: when the cylinder is slightly curved (the Dean problem) and when the radius of the cylinder becomes exceedingly thin.\n\nReference: Haiyang Wang, Fredrik Fryklund, Samuel Potter, and Leslie Greengard. Scattering theory for stokes flow in complex branched structures. Journal of Computational Physics, 564:115148, 2026.", "occurrence_notes":null, "guid":"153830-21916417@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/153830", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"3088", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Applied Mathematics"], "website":"https:\/\/sites.google.com\/umich.edu\/umich-siamstudentchapter\/home?authuser=0", "sponsors":[ { "group_name":"Student AIM Seminar - Department of Mathematics", "group_id":"4902", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/10\/event_153830_original-1.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/10\/event_153830_original-1.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/10\/event_153830_original-1.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/10\/event_153830_original-1.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/10\/event_153830_original-1.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/10\/event_153830_original-1.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/10\/event_153830_original-1.png" }, "occurrence_count":1, "first_occurrence":21916417 } }