{
    "126924-21858144":
    {
        "datetime_modified":"20241109T194637",
        "datetime_start":"20241120T160000",
        "datetime_end":"20241120T172000",
        "has_end_time":1,
        "date_start":"2024-11-20",
        "date_end":"2024-11-20",
        "time_start":"16:00:00",
        "time_end":"17:20:00",
        "time_zone":"America\/Detroit",
        "event_title":"RTG Geometry, Topology and Dynamics SEMINAR:     Rokhlin entropy, and convergence of information along geodesics in negatively curved groups.",
        "occurrence_title":"",
        "combined_title":"RTG Geometry, Topology and Dynamics SEMINAR:     Rokhlin entropy, and convergence of information along geodesics in negatively curved groups.: Amos Nevo (Chicago\/Technion)",
        "event_subtitle":"Amos Nevo (Chicago\/Technion)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Entropy theory for group actions has been extended beyond the case of amenable groups, with key insights and results initiated by Lewis Bowen and Brandon Seward. We will briefly discuss and put in context some of their definitions, and then proceed to consider negatively curved groups. We will explain a Shannon-Macmillan-Breiman theorem for pointwise convergence of information functions along (almost all almost-) geodesics in the group.  We will then define \u201corbital entropy\u201d using the limits in the SMB theorem,  and using an important inequality due to Seward, show that it coincides with Rokhlin entropy. \r\n\r\n Based on joint work with F. Pogorzelski (Leipzig University).",
        "occurrence_notes":null,
                "guid":"126924-21858144@events.umich.edu",
        "permalink":"http:\/\/events.umich.edu\/event\/126924",
        "building_id":"1000166",
        "building_name":"East Hall",
        "campus_maps_id":"53",
        "room":"3866",
        "location_name":"East Hall",
        "has_livestream":0,
        "cost":"",
        "tags":["Mathematics"],
        "website":"",
        "sponsors":[
             {
                "group_name":"RTG Seminar on Geometry, Dynamics and Topology - Department of Mathematics",
                "group_id":"4900",
                "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":21858144
    }    ,    "124175-21852577":
    {
        "datetime_modified":"20240812T180125",
        "datetime_start":"20241120T160000",
        "datetime_end":"20241120T170000",
        "has_end_time":1,
        "date_start":"2024-11-20",
        "date_end":"2024-11-20",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Stability of backward propagation of chaos",
        "occurrence_title":"",
        "combined_title":"Stability of backward propagation of chaos: Alexandros Saplaouras, National University of Athens",
        "event_subtitle":"Alexandros Saplaouras, National University of Athens",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"It will initially be considered the asymptotic behavior of the solution of a mean-field system of Backward Stochastic Differential Equations with Jumps (BSDEs), as the multitude of the system equations grows to infinity, to independent and identically distributed (IID) solutions of McKean\u2013Vlasov BSDEs. This property is known in the literature as backward propagation of chaos. Afterwards, it will be provided the suitable framework for the stability of the aforementioned property to hold. In other words, assuming a sequence of mean-field systems of BSDEs which propagate chaos, then their solutions, as the multitude of the system equations grows to infinity, approximates an IID sequence of solutions of the limiting McKean\u2013Vlasov BSDE. The generality of the framework allows to incorporate either discrete-time or continuous-time approximating mean-field BSDE systems.",
        "occurrence_notes":null,
                "guid":"124175-21852577@events.umich.edu",
        "permalink":"http:\/\/events.umich.edu\/event\/124175",
        "building_id":"",
        "building_name":"",
        "campus_maps_id":"",
        "room":"1360",
        "location_name":null,
        "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":21852577
    }    }