The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest
From MaRDI portal
Publication:1807204
DOI10.1214/aop/1022677262zbMath0954.60060OpenAlexW2013349885MaRDI QIDQ1807204
Publication date: 9 November 1999
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1022677262
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Brownian motion (60J65) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)
Related Items
A Vervaat-like path transformation for the reflected Brownian bridge conditioned on its local time at 0, The distance profile of rooted and unrooted simply generated trees, Pathwise vs. path-by-path uniqueness, A Lamperti-type representation of continuous-state branching processes with immigration, The Gorin-Shkolnikov identity and its random tree generalization, The degree profile of random Pólya trees, Random real trees, Adaptive approximation of the minimum of Brownian motion, Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions, An integral test for the transience of a Brownian path with limited local time, Applications of the continuous-time ballot theorem to Brownian motion and related processes., Reflected Brownian bridge local time conditioned on its local time at the origin, The shape of unlabeled rooted random trees, A functional limit theorem for the profile of \(b\)-ary trees, Stable laws and Beurling kernels, Асимптотические свойства числа инверсий в случайном лесе, Super-Brownian motion conditioned on the total mass, Edge of spiked beta ensembles, stochastic Airy semigroups and reflected Brownian motions, On the existence and the Hölder regularity of the local time of the Brownian bridge
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The continuum random tree. I
- The intrinsic local time sheet of Brownian motion
- Weak convergence to Brownian excursion
- On the character of convergence to Brownian local time. I
- Relations entre pont et excursion du mouvement brownien réel. (Relations between bridge and excursion of real Brownian motion)
- Self-avoiding random walk: A Brownian motion model with local time drift
- Continuity of martingales in the Brownian excursion filtration
- Weak limit theorems for stochastic integrals and stochastic differential equations
- A relation between Brownian bridge and Brownian excursion
- An excursion approach to Ray-Knight theorems for perturbed Brownian motion
- Some extensions of the arc sine law as partial consequences of the scaling property of Brownian motion
- The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
- The Feynman-Kac formula and decomposition of Brownian paths
- Perturbed Brownian motions
- Approximation of stopped Brownian local time by diadic crossing chains
- The moments of the area under reflected Brownian bridge conditional on its local time at zero
- Strata of random mappings---a combinatorial approach
- Cyclically stationary Brownian local time processes
- On the weak convergence of interpolated Markov chains to a diffusion
- On the local time of the Brownian motion
- The continuum random tree. III
- Sojourn times of diffusion processes
- Operational Derivation of Some Brownian Motion Results
- Density factorizations for brownian motion, meander and the three-dimensional bessel process, and applications
- Distributions of Functionals of Brownian Local Time, II
- Distributions of the Number of Vertices in Strata of a Random Forest
- Local time is a semi-martingale
- A decomposition of Bessel Bridges
- On the Distribution of the Number of Vertices in Strata of a Random Mapping
- Path Decomposition and Continuity of Local Time for One-Dimensional Diffusions, I
- Bessel diffusions as a one-parameter family of diffusion processes
- One-dimensional Brownian motion and the three-dimensional Bessel process
- The distribution of the maximum Brownian excursion
- Limit distributions of the height of a random forest of plane rooted trees
- Brownian bridge asymptotics for random mappings
- On the profile of random trees
- K-Sample Analogues of the Kolmogorov-Smirnov and Cramer-V. Mises Tests
- The Limit of a Sequence of Branching Processes
- The total progeny in a branching process and a related random walk
- Decomposing the Brownian path
- Convergence of critical Galton-Watson branching processes
- Markov properties of Brownian local time
- Random Walks and A Sojourn Density Process of Brownian Motion
- The Asymptotic Distribution of the Range of Sums of Independent Random Variables
- First Passage and Recurrence Distributions
- Brownian local times
- An extension of Vervaat's transformation and its consequences