Richard F. Bass
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American mathematician
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Richard F. Bassmathematics Degrees
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#1176
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Measure Theory
#1166
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#1487
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#422
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Mathematics
Why Is Richard F. Bass Influential?
(Suggest an Edit or Addition)According to Wikipedia, Richard Franklin Bass is an American mathematician, the Board of Trustees Distinguished Professor Emeritus of Mathematics at the University of Connecticut. He is known for his work in probability theory.
Richard F. Bass's Published Works
Published Works
- Convergence of probability measures (2011) (5119)
- Probabilistic Techniques in Analysis (1994) (354)
- Brownian Motion and Harmonic Analysis on Sierpinski Carpets (1999) (312)
- Diffusions and Elliptic Operators (1997) (292)
- Non-local dirichlet forms and symmetric jump processes (2006) (268)
- Harnack Inequalities for Jump Processes (2002) (254)
- The construction of brownian motion on the Sierpinski carpet (1989) (252)
- Some Potential Theory for Reflecting Brownian Motion in Holder and Lipschitz Domains (1991) (188)
- Transition densities for Brownian motion on the Sierpinski carpet (1992) (172)
- Uniqueness in law for pure jump Markov processes (1988) (171)
- The Liouville Property and a Conjecture of De Giorgi (2000) (152)
- Transition Probabilities for Symmetric Jump Processes (2002) (149)
- Harnack inequalities for non-local operators of variable order (2004) (146)
- Uniqueness of Brownian motion on Sierpinski carpets (2010) (141)
- Stability of parabolic Harnack inequalities on metric measure spaces (2006) (140)
- Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order (2005) (134)
- Stochastic differential equations with jumps (2003) (129)
- Uniqueness for diffusions with piecewise constant coefficients (1987) (125)
- Stability of parabolic Harnack inequalities (2003) (108)
- On the resistance of the Sierpiński carpet (1990) (95)
- Systems of equations driven by stable processes (2006) (89)
- Brownian motion with singular drift (2003) (89)
- Regularity results for stable-like operators☆ (2008) (78)
- The malliavin calculus for pure jump processes and applications to local time (1986) (72)
- A boundary Harnack principle in twisted Holder domains (1991) (70)
- Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains (2002) (69)
- Degenerate stochastic differential equations and super-Markov chains (2002) (62)
- Symmetric jump processes: Localization, heat kernels and convergence (2008) (62)
- Stochastic differential equations driven by symmetric stable processes (2003) (60)
- The most visited site of Brownian motion and simple random walk (1985) (58)
- Lifetimes of conditioned diffusions (1992) (53)
- Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps (2007) (52)
- The semimartingale structure of reflecting Brownian motion (1990) (51)
- Stochastic differential equations for Dirichlet processes (2001) (51)
- One-Dimensional Stochastic Differential Equations with Singular and Degenerate Coefficients (2005) (50)
- Extending the Wong-Zakai theorem to reversible Markov processes (2002) (48)
- Stochastic differential equations driven by stable processes for which pathwise uniqueness fails (2004) (48)
- Fiber Brownian motion and the `hot spots''problem Duke Math (2000) (48)
- Resistance and spectral dimension of Sierpinski carpets (1990) (46)
- Skorokhod imbedding via stochastic integrals (1983) (44)
- Intersection Local Times and Tanaka Formulas (1993) (44)
- Self-intersection local time: Critical exponent, large deviations, and laws of the iterated logarithm (2004) (43)
- The martingale problem for a class of stable-like processes (2007) (42)
- Hölder domains and the boundary Harnack principle (1991) (41)
- Regularity of Harmonic functions for a class of singular stable-like processes (2009) (38)
- Local times for Brownian motion on the Sierpinski carpet (1990) (38)
- The Space $D(A)$ and Weak Convergence for Set-indexed Processes (1985) (38)
- Uniqueness for reflecting Brownian motion in lip domains (2005) (37)
- Law of the iterated logarithm for set-indexed partial sum processes with finite variance (1985) (37)
- Functional law of the iterated logarithm and uniform central limit theorem for partial-sum processes indexed by sets (1984) (36)
- A Probabilistic Proof of the Boundary Harnack Principle (1990) (36)
- The Boundary Harnack Principle for Non-Divergence form Elliptic Operators (1994) (35)
- The most visited sites of symmetric stable processes (2000) (34)
- Real analysis for graduate students (2011) (33)
- Local times on curves and uniform invariance principles (1992) (32)
- Coupling and Harnack inequalities for Sierpiński carpets (1993) (32)
- The Term Structure with Semi-credible Targeting (2003) (31)
- Relevant Sampling of Band-limited Functions (2012) (31)
- Probability Estimates for Multiparameter Brownian Processes (1988) (30)
- Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks (2005) (30)
- THE MEASURABILITY OF HITTING TIMES (2010) (30)
- Random sampling of bandlimited functions (2007) (29)
- A stochastic differential equation with a sticky point (2012) (29)
- Symmetric Markov chains on ℤ^{} with unbounded range (2007) (29)
- Prokofiev's Technique of Chromatic Displacement (1988) (28)
- Divergence Form Operators on Fractal-like Domains (2000) (27)
- On the Robin problem in fractal domains (2005) (27)
- From Gretchen to Tristan: The Changing Role of Harmonic Sequences in the Nineteenth Century (1996) (26)
- Half-Diminished Functions and Transformations in Late Romantic Music (2001) (26)
- The existence of set-indexed Lévy processes (1984) (26)
- Large deviations for Riesz potentials of additive processes (2007) (26)
- Moderate deviations for the range of planar random walks (2006) (26)
- Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces (2005) (25)
- Random Sampling of Multivariate Trigonometric Polynomials (2005) (25)
- Strong approximations to Brownian Local Time (1993) (25)
- Laws of the iterated logarithm for some symmetric diffusion processes (2000) (24)
- Law of the iterated logarithm for the range of random walks in two and three dimensions (2002) (24)
- Pathwise uniqueness for a degenerate stochastic differential equation (2006) (23)
- Stochastic Bifurcation Models (1998) (23)
- Joint continuity and representations of additive functionals of d-dimensional Brownian motion (1984) (22)
- Large deviations for renormalized self-intersection local times of stable processes (2005) (22)
- A Strong Law of Large Numbers for Partial-Sum Processes Indexed by Sets (1984) (21)
- Markov processes and convex minorants (1984) (21)
- On Aronson's Upper Bounds for Heat Kernels (2002) (21)
- Stochastic Processes: Index (2011) (20)
- A Fatou theorem for α-harmonic functions (2003) (20)
- Adding and subtracting jumps from Markov processes (1979) (20)
- Stationary distributions for diffusions with inert drift (2008) (20)
- Meyers inequality and strong stability for stable-like operators (2012) (19)
- A Semi-Markov Model for Primary Health Care Manpower Supply Prediction (1987) (19)
- Poisson point processes (2011) (18)
- Models of Octatonic and Whole-Tone Interaction: George Crumb and His Predecessors (1994) (18)
- PR ] 3 0 A ug 2 00 5 Symmetric Markov chains on Z d with unbounded range (2008) (18)
- A new technique for proving uniqueness for martingale problems (2007) (18)
- Conditioned Brownian motion in planar domains (1995) (18)
- Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type (2005) (18)
- Rates of convergence to Brownian local time (1993) (18)
- Pathwise uniqueness for reflecting Brownian motion in Euclidean domains (2000) (17)
- On Domain Monotonicity of the Neumann Heat Kernel (1993) (16)
- L p inequalities for functionals of Brownian motion (1987) (15)
- Seminar on Stochastic Processes, 1992 (1993) (15)
- Intersection Local Time for Points of Infinite Multiplicity (1994) (14)
- Convergence of symmetric Markov chains on $\Z^d$ (2008) (14)
- Occupation time densities for stable-like processes and other pure jump Markov processes (1988) (14)
- The Doob-Meyer Decomposition Revisited (1996) (13)
- Exit Times for Symmetric Stable Processes in $\mathbb{R}^n$ (1983) (13)
- Sets, Scales, and Symmetries: The Pitch-Structural Basis of George Crumb's Makrokosmos I and II (1991) (13)
- An almost sure invariance principle for the range of planar random walks (2004) (13)
- Enharmonic Position Finding and the Resolution of Seventh Chords in Chromatic Music (2007) (12)
- A stability theorem for elliptic Harnack inequalities (2011) (12)
- Frequent Points for Random Walks in Two Dimensions (2006) (11)
- Local times for a class of purely discontinuous martingales (1984) (11)
- On pathwise uniqueness for reflecting Brownian motion in C1+γ domains (2007) (11)
- Convergence of symmetric Markov chains on $${\mathbb{Z}^d}$$ (2010) (11)
- Correction to "The measurability of hitting times" (2011) (10)
- A Fatou theorem for α-harmonic functions in Lipschitz domains (2005) (10)
- Laws of the Iterated Logarithm for Local Times of the Empirical Process (1995) (10)
- Degenerate stochastic differential equations arising from catalytic branching networks (2008) (9)
- Markov processes with Lipschitz semigroups (1981) (9)
- Stochastic processes (2011) (9)
- Countable Systems of Degenerate Stochastic Differential Equations with Applications to Super-Markov Chains (2004) (9)
- Eigenvalue expansions for Brownian motion with an application to occupation times (1996) (8)
- Uniqueness for the Skorokhod Equation with Normal Reflection in Lipschitz Domains (1996) (7)
- A central limit theorem for D(A)-valued processes (1987) (7)
- Random Sampling of Entire Functions of Exponential Type in Several Variables (2007) (7)
- The submartingale problem for a class of degenerate elliptic operators (2006) (7)
- Cutting Brownian Paths (1999) (6)
- Regular conditional probabilities (2011) (6)
- The Term Structure with Credible and Semi-Credible Targeting (1998) (6)
- Harnack inequalities in infinite dimensions (2012) (6)
- A probabilistic approach to the boundedness of singular integral operators (1990) (6)
- Brownian Motion, Heat Kernels, and Harmonic Functions (1995) (5)
- OCCUPATION TIMES OF d-DIMENSIONAL SEMIMARTINGALES (1983) (5)
- Brownian Motion with Lower Class Moving Boundaries Which Grow Faster Than $t^{1/2}$ (1983) (5)
- The Supremum of Brownian Local Times on Hölder Curves (2000) (5)
- The Martin boundary in non-Lipschitz domains (1993) (5)
- General Theory of Processes (1998) (4)
- Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains (2006) (4)
- Kolmogorov extension theorem (2011) (4)
- An Almost Sure Invariance Principle for Renormalized Intersection Local Times (2004) (4)
- The Dirichlet problem for radially homogeneous elliptic operators (1990) (4)
- Harnack inequalities and sub-Gaussian estimates for random walks (2018) (4)
- A critical case for Brownian slow points (1996) (3)
- On uniqueness in law for parabolic SPDEs and infinite-dimensional SDEs (2011) (3)
- On the lift-off constant for elastically supported plates (2004) (3)
- Bass A stability theorem for elliptic Harnack inequalities (2013) (3)
- Stochastic Processes: Financial mathematics (2011) (3)
- Stochastic calculus and the continuity of local times of Lévy processes (1992) (3)
- PDE from a probability point of view (2004) (3)
- On the martingale problem for super-brownian motion (2001) (2)
- Pathwise uniqueness for two dimensional reflecting Brownian motion in Lipschitz domains (2005) (2)
- Types and Applications of P3,0 Seventh-Chord Transformations in Late Nineteenth-Century Music (2016) (2)
- Local Laws of the Iterated Logarithm for Diffusions (1985) (2)
- SDEs with Jumps Notes for Cornell Summer School, 2007 Revised version (2007) (2)
- The rate of escape of the most visited site of Brownian motion (2013) (2)
- A Brief Introduction to Measure Theory and Integration (2005) (2)
- Stochastic Processes: Construction of Brownian motion (2011) (1)
- A uniqueness result for harmonic functions (2001) (1)
- The martingales of an independent increment process (1979) (1)
- POSITIVITY OF BROWNIAN TRANSITION DENSITIES (1997) (1)
- Review of David Kopp, Chromatic Transformations in Nineteenth-Century Music (Cambridge: Cambridge University Press, 2002) (2004) (1)
- Symmetric Markov chains on $\Bbb Z^d$ with unbounded range (2005) (1)
- Hitting time of a moving boundary for a diffusion (1983) (1)
- Using stochastic comparison to estimate Green's functions (1989) (1)
- Ross G. PINSKY, Positive Harmonic Functions and Diffusion: An Integrated Analytic and Probabilistic Approach. (2016) (1)
- A representation of local time for Lipschitz surfaces (1990) (1)
- Correction: Local Laws of the Iterated Logarithm for Diffusions (1986) (0)
- Stochastic Processes: Brownian motion (2011) (0)
- Stochastic Processes: Skorokhod representation (2011) (0)
- Stochastic Processes: Itô's formula (2011) (0)
- Stochastic integral representations for multiparameter random fields with stationary independent increments (1983) (0)
- Stochastic Processes: Applications of the Markov properties (2011) (0)
- Stochastic Processes: Skorokhod embedding (2011) (0)
- Stochastic Processes: Applications of weak convergence (2011) (0)
- Stochastic Processes: The Ray–Knight theorems (2011) (0)
- Stochastic Processes: Markov properties (2011) (0)
- Processes with jumps (2011) (0)
- SDEs with Jumps Notes for Barrett Lectures, April 2009 (2009) (0)
- PR ] 3 1 A ug 2 00 9 Uniqueness of Brownian motion on Sierpinski carpets (2009) (0)
- Book Review (2001) (0)
- Transformations of Markov processes (2011) (0)
- Stochastic Processes: Frequently used notation (2011) (0)
- Stochastic Processes: Semigroups (2011) (0)
- htmlEIGENVALUE EXPANSIONS FOR BROWNIAN MOTIONWITH AN APPLICATION TO (1996) (0)
- Stochastic Processes: Stochastic differential equations (2011) (0)
- Brass chamber music (1997) (0)
- PR ] 1 2 A pr 2 00 8 Stationary distributions for diffusions with inert drift ∗ (2021) (0)
- Stochastic Processes: Markov processes and SDEs (2011) (0)
- Stochastic Processes: Filtering (2011) (0)
- Stochastic Processes: The space C [0, 1] (2011) (0)
- Harmonic Text-Painting in Franz Liszt’s Lieder (2013) (0)
- Markov properties of Brownian motion (2011) (0)
- ASS A probabilistic approach to the boundedness of singular integral operators (2019) (0)
- Conditioned Brownian motion in planar domains 1 (2005) (0)
- Stochastic Processes: Lévy processes (2011) (0)
- Stochastic Processes: Solving partial differential equations (2011) (0)
- A centred norm inequality for singular integral operators (1992) (0)
- ASS Using stochastic comparison to estimate Green ’ s functions (2018) (0)
- The continuity of paths (2011) (0)
- Stochastic Processes: Local times (2011) (0)
- BOOK REVIEW of "Positive Harmonic Functions and Diffusion: An Integrated Analytic and Probabilistic Approach" by Ross G. Pinsky (1997) (0)
- Stochastic Processes: The Poisson process (2011) (0)
- Stochastic Processes: Weak solutions of SDEs (2011) (0)
- The number of favorite points of a simple random walk (2013) (0)
- Stochastic Processes: Framework for Markov processes (2011) (0)
- Title ON MULTIDIMENSIONAL DIFFUSION PROCESSES WITH JUMPS (0)
- Stochastic Processes: Some applications of Itô's formula (2011) (0)
- Path properties of Brownian motion (2011) (0)
- The measurability of hitting times (corrected version) (2011) (0)
- Stochastic Processes: Stochastic integrals (2011) (0)
- Stochastic Processes: Infinitesimal generators (2011) (0)
- The space D[0, 1] (2011) (0)
- Jump processes (2020) (0)
- Stochastic Processes: The Girsanov theorem (2011) (0)
- Stochastic Processes: One-dimensional diffusions (2011) (0)
- Stochastic Processes: Optimal stopping (2011) (0)
- Stochastic Processes: References (2011) (0)
- Stochastic Processes: Preface (2011) (0)
- Stochastic Processes: Some results from analysis (2011) (0)
- Sonic velocity as a function of depth in alluvium (1978) (0)
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