Persistence Probabilities and Exponents
DOI10.1007/978-3-319-23138-9_3zbMath1338.60077arXiv1203.6554OpenAlexW2338113466MaRDI QIDQ2807249
Publication date: 19 May 2016
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.6554
Gaussian processpersistencerandom walksurvival functionfirst passage timeLévy processintegrated processstable processlower tail probability
Processes with independent increments; Lévy processes (60G51) Gaussian processes (60G15) Stationary stochastic processes (60G10) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Large deviations (60F10) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52) Limit theorems in probability theory (60F99) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
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Cites Work
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- The first passage time problem over a moving boundary for asymptotically stable Lévy processes
- Persistence of some additive functionals of Sinai's walk
- Persistence of iterated partial sums
- Suprema of Lévy processes
- On the one-sided exit problem for fractional Brownian motion
- No zero-crossings for random polynomials and the heat equation
- Persistence of integrated stable processes
- On the one-sided exit problem for stable processes in random scenery
- Fluctuation theory for Lévy processes. Ecole d'Eté de probabilités de Saint-Flour XXXV -- 2005.
- On the Hausdorff dimension of regular points of inviscid Burgers equation with stable initial data
- Clustering in a stochastic model of one-dimensional gas
- Real roots of random polynomials and zero crossing properties of diffusion equation
- Unilateral small deviations of processes related to the fractional Brownian motion
- On the probability that integrated random walks stay positive
- On the asymptotic behaviour of first passage times for transient random walk
- Sur le premier instant de passage de l'intégrale du mouvement brownien. (The first passage time for the integrated Brownian motion)
- Statistics of shocks in solutions of inviscid Burgers equation
- The inviscid Burgers equation with initial data of Brownian type
- The inviscid Burgers equation with Brownian initial velocity
- Hausdorff dimension of regular points in stochastic Burgers flows with Lévy \(\alpha\)-stable initial data
- Distribution of some functionals of the integral of a random walk
- Spitzer's condition for random walks and Lévy processes
- Integrated Brownian motion, conditioned to be positive
- A normal comparison inequality and its applications
- Small values of the maximum for the integral of fractional Brownian motion
- Spitzer's condition and ladder variables in random walks
- An asymptotic formula for the Kolmogorov diffusion and a refinement of Sinai's estimates for the integral of Brownian motion
- Maximum of a fractional Brownian motion: Probabilities of small values
- Asymptotic estimates for the distribution of additive functionals of Brownian motion by the Wiener-Hopf factorization method
- Lower tail probability estimates for subordinators and nondecreasing random walks
- Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
- Lower tail probabilities for Gaussian processes.
- Survival exponents for some Gaussian processes
- Universality of the asymptotics of the one-sided exit problem for integrated processes
- First passage times for subordinate Brownian motions
- Exit times for integrated random walks
- Random walks in cones
- Positivity of integrated random walks
- Conditional persistence of Gaussian random walks
- Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction
- A winding problem for a resonator driven by a white noise
- Persistence exponent for random processes in Brownian scenery
- Survival probabilities of weighted random walks
- Survival of a diffusing particle in a transverse shear flow: a first-passage problem with continuously varying persistence exponent
- Regularities and irregularities in a random 0,1 sequence
- Martingales and first passage times of AR(1) sequences
- Fluctuation theory in continuous time
- Sticky Particles and Scalar Conservation Laws
- A first passage time distribution for a discrete version of the Ornstein–Uhlenbeck process
- Random polynomials having few or no real zeros
- Persistence of fractional Brownian motion with moving boundaries and applications
- A UNIFYING APPROACH TO FRACTIONAL LÉVY PROCESSES
- Persistence probabilities for an integrated random walk bridge
- First-Passage Phenomena and Their Applications
- Survival probabilities of autoregressive processes
- On the First Passage of the Integrated Wiener Process
- Windings of the stable Kolmogorov process
- Long Gaps Between Sign-Changes of Gaussian Stationary Processes
- First passage times of L\'evy processes over a one-sided moving boundary
- Some Results Concerning the Zero-Crossings of Gaussian Noise
- Maxima of sums of random variables and suprema of stable processes
- The 1971 Rietz Lecture Sums of Independent Random Variables--Without Moment Conditions