scholarly journals Generalized Cauchy identities, trees and multidimensional Brownian motions. Part I: bijective proof of generalized Cauchy identities

10.37236/1088 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Piotr Šniady
Keyword(s):  
Linear Orders ◽  
Brownian Motions ◽  
Bijective Proof ◽  
Brownian Bridges ◽  
Continuous Objects ◽  
Cauchy Identity

In this series of articles we study connections between combinatorics of multidimensional generalizations of the Cauchy identity and continuous objects such as multidimensional Brownian motions and Brownian bridges. In Part I of the series we present a bijective proof of the multidimensional generalizations of the Cauchy identity. Our bijection uses oriented planar trees equipped with some linear orders.

scholarly journals Some new connections between Brownian bridges and Brownian motions

2015 ◽  
Vol 9 (3) ◽  
Author(s):  
Estate V Khmaladze
Keyword(s):  
Brownian Motions ◽  
Brownian Bridges

Optimal Control of Stochastic Systems Driven by Fractional Brownian Motions

2014 ◽  
Author(s):  
Tyrone E. Duncan ◽  
Bozenna Pasik-Duncan
Keyword(s):  
Optimal Control ◽  
Stochastic Systems ◽  
Brownian Motions ◽  
Fractional Brownian Motions

Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension

1997 ◽  
Vol 1 (1) ◽  
pp. 27-46 ◽  
Author(s):  
Russel Caflisch ◽  
William Morokoff ◽  
Art Owen
Keyword(s):  
Effective Dimension ◽  
Brownian Bridges ◽  
Mortgage Backed Securities

Examples of theories of presheaf type

2018 ◽  
Author(s):  
Olivia Caramello
Keyword(s):  
Finite Groups ◽  
Linear Independence ◽  
Geometric Theory ◽  
Vector Spaces ◽  
Linear Orders ◽  
Locally Finite ◽  
Strong Unit ◽  
Locally Finite Groups ◽  
Simplicial Sets ◽  
Separable Extensions

This chapter discusses several classical as well as new examples of theories of presheaf type from the perspective of the theory developed in the previous chapters. The known examples of theories of presheaf type that are revisited in the course of the chapter include the theory of intervals (classified by the topos of simplicial sets), the theory of linear orders, the theory of Diers fields, the theory of abstract circles (classified by the topos of cyclic sets) and the geometric theory of finite sets. The new examples include the theory of algebraic (or separable) extensions of a given field, the theory of locally finite groups, the theory of vector spaces with linear independence predicates and the theory of lattice-ordered abelian groups with strong unit.

scholarly journals FINDING DESCENDING SEQUENCES THROUGH ILL-FOUNDED LINEAR ORDERS

2021 ◽  
pp. 1-39
Author(s):  
JUN LE GOH ◽  
ARNO PAULY ◽  
MANLIO VALENTI
Keyword(s):  
Linear Orders

Accurate Boundary Detection and Refinement for Continuous Objects in IoT Sensing Networks

2019 ◽  
Vol 57 (6) ◽  
pp. 93-99 ◽  
Author(s):  
Zhangbing Zhou ◽  
Yaqiang Zhang ◽  
Xuefang Yi ◽  
Chao Chen ◽  
Haodi Ping
Keyword(s):  
Boundary Detection ◽  
Continuous Objects
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