In probability theory a Brownian excursion process is a stochastic process that is closely related to a Wiener process (or Brownian motion). Realisations of Brownian excursion processes are essentially just realizations of a Wiener process selected to satisfy certain conditions. In particular, a Brownian excursion process is a Wiener process conditioned to be positive and to take the value 0 at time 1. Alternatively, it is a Brownian bridge process conditioned to be positive. BEPs are important because, among other reasons, they naturally arise as the limit process of a number of conditional functional central limit theorems. (Wikipedia).
Northern Brazil: Dunes, Markets, and Miles of Beaches | National Geographic
Join our tour of the northern coast of Brazil as we trek through the states of Piauí and Ceará. The blue waters and white sands mark our exploration of this tiny corner of the largest country in South America. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National
From playlist Road Trip | National Geographic
Cosmic Journeys - Interstellar Flight
Cosmic Journeys explores the challenges of interstellar flight and the technological possibilities that may one day send us on a long voyage out into the galaxy. What imperatives will define the mission when it launches and finally arrives: exploration and science, or a struggle for surviv
From playlist Cosmic Journeys: Season 1
The War on Poaching in the Nation's Capital | Explorer
Bryan Christy meets with Congressman Royce to share the findings of his investigation. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Explorer: https://on.natgeo.com/2kjK3ZO About Explorer: Explorer, the longest-running documentary series in cable television history, honored with n
From playlist Exploration | National Geographic
On-Foot Explorer Reflects on the Middle East | National Geographic
In a new dispatch from his worldwide walk, Paul Salopek ruminates on the commonality and conflict he perceives in the holy lands of the Middle East. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, ex
From playlist Exploration | National Geographic
Large deviations for the Wiener Sausage (Lecture 2) by Frank den Hollander
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Artist adventurer Dean Potter turns a harrowing slackline walk into a thing of beauty—with a little help from the moon. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Thr
From playlist Science and Exploration | National Geographic
Christina Goldschmidt: Scaling limits of random trees and graphs - Lecture 2
HYBRID EVENT In the last 30 years, random combinatorial structures and their scaling limits have formed a flourishing area of research at the interface between probability and combinatorics. In this mini-course, I aim to show some of the beautiful theory that arises when considering scalin
From playlist Probability and Statistics
CSDM: Finding Needles in Exponential Haystacks - Joel Spencer
Joel Spencer Courant Institute, NYU February 21, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Christina Goldschmidt: Scaling limits of random trees and graphs - Lecture 1
HYBRID EVENT HYBRID EVENT In the last 30 years, random combinatorial structures and their scaling limits have formed a flourishing area of research at the interface between probability and combinatorics. In this mini-course, I aim to show some of the beautiful theory that arises when consi
From playlist Probability and Statistics
Finding Needles in Exponential Haystacks - Joel Spencer
Joel Spencer Courant Institute; NYU February 21, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Road Trip: Oregon Cascades | National Geographic
Journey along the picturesque mountains and forests of central Oregon, from the Columbia River Gorge to Crater Lake. PRODUCER: Lance Page ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration,
From playlist Road Trip | National Geographic
Discover Princess Alaska Cruisetours (360 Video)
Explore Alaska on a cruisetour - marvel at glaciers, visit unique Alaska ports and towns, and experience exclusive train travel. It's a trip of a lifetime!
From playlist Discovery VR (360 Videos)
River Cruises Let You Savor Your Travel to Historic Wonders | National Geographic
A voyage on a river can take you to the heart of an unfamiliar place, and also free you from some of the stress of travel. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure.
From playlist News | National Geographic
Marion Sciauveau - Cost functionals for large random trees
Les arbres apparaissent naturellement dans de nombreux domaines tels que l'informatique pour le stockage de données ou encore la biologie pour classer des espèces dans des arbres phylogénétiques. Dans cet exposé, nous nous intéresserons aux limites de fonctionnelles additives de grands arb
From playlist Les probabilités de demain 2017
Shirshendu Ganguly (Berkeley) -- Stability and chaos in dynamical last passage percolation (Part 2)
Many complex disordered systems in statistical mechanics are characterized by intricate energy landscapes. The ground state, the configuration with lowest energy, lies at the base of the deepest valley. In important examples, such as Gaussian polymers and spin glass models, the landscape h
From playlist Integrable Probability Working Group
David Gessner visits scientists who are doing groundbreaking research with our brains. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Explorer: https://on.natgeo.com/2kjK3ZO About Explorer: Explorer, the longest-running documentary series in cable television history, honored with n
From playlist Exploration | National Geographic
Jean-François Le Gall (Universite Paris-Saclay) -- Compact and non-compact models of random geometry
We discuss various models of random geometry that arise as scaling limits of large planar graphs embedded in the 2-sphere (also called planar maps). The most popular compact models are the Brownian sphere or Brownian map, and the Brownian disk, which is the scaling limit of
From playlist Columbia Probability Seminar
Noise Sensitivity and Chaos in Random Planar Geometry by Shirshendu Ganguly
PROGRAM : FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS : Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE : 11 July 2022 to 29 July 2022 VENUE : Ramanujan Lecture Hall and online T
From playlist First-Passage Percolation and Related Models 2022 Edited
Raphael Forien - Gene Flow across a geographical barrier
Consider a species scattered along a linear habitat. Physical obstacles can locally reduce migration and genetic exchanges between different parts of space. Tracing the position of an individual's ancestor(s) back in time allows to compute the expected genetic composition of such a populat
From playlist Les probabilités de demain 2017
Under Sea Ice in Antarctica | Explorer
In Antarctica a team of elite divers risks their lives to further the study of climate change. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Watch all clips of Explorer here: http://bit.ly/WatchExplorer ➡ Get More Explorer: https://on.natgeo.com/2kjK3ZO About Explorer: Explorer, the longes
From playlist Explorer | National Geographic