Martina Zähle | Academic Influence

Martina Zähle's AcademicInfluence.com Rankings

Martina Zähle

Mathematics

#5654

World Rank

#7948

Historical Rank

Group Theory

#237

World Rank

#281

Historical Rank

Algebra

#531

World Rank

#704

Historical Rank

Measure Theory

#2742

World Rank

#3275

Historical Rank

mathematics Degrees

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Mathematics

Martina Zähle's Degrees

PhD Mathematics University of Bonn
Masters Mathematics University of Bonn
Bachelors Mathematics University of Bonn

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Why Is Martina Zähle Influential?

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According to Wikipedia, Martina Zähle is a German mathematician specializing in geometric measure theory and stochastic geometry. She is a professor of mathematics at the University of Jena, where she holds the chair for geometry.

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Martina Zähle's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Integration with respect to fractal functions and stochastic calculus. I (1998) (629)
Integral and current representation of Federer's curvature measures (1986) (145)
Curvatures and currents for unions of sets with positive reach (1987) (103)
Integration with respect to Fractal Functions and Stochastic Calculus II (2001) (87)
Random processes of Hausdorff rectifiable closet sets (1982) (83)
Harmonic Calculus on Fractals - A Measure Geometric Approach I (2005) (72)
On the Link Between Fractional and Stochastic Calculus (1999) (70)
Fractional derivatives of Weierstrass-type functions (1996) (46)
Normal cycles of Lipschitz manifolds by approximation with parallel sets (2003) (42)
Curvature Measures and Random Sets, I (1984) (38)
Approximation and characterization of generalised Lipschitz-Killing curvatures (1990) (37)
A Kinematic Formula and Moment Measures of Random Sets (1990) (33)
General Normal Cycles and Lipschitz Manifolds of Bounded Curvature (2005) (33)
Mixed curvature measures for sets of positive reach and a translative integral formula (1995) (32)
POTENTIAL SPACES ON FRACTALS (2005) (32)
Curvatures and Currents for Unions of Sets with Positive Reach, II (2001) (32)
Lipschitz-Killing curvatures of self-similar random fractals (2010) (29)
Riesz Potentials and Liouville Operators on Fractals (2004) (25)
Fractional Differentiation in the Self‐Affine Case. V ‐ The Local Degree of Differentiability (1997) (25)
LONG RANGE DEPENDENCE, NO ARBITRAGE AND THE BLACK–SCHOLES FORMULA (2002) (23)
Fractional differentiation in the self-affine case. III. The density of the Cantor set (1993) (22)
Conditional Distributions of Processes Related to Fractional Brownian Motion (2013) (22)
Geometric Measures for Random Curved Mosaics of Rd (1988) (22)
A short proof of principal kinematic formula and extensions (1990) (20)
ORDINARY DIFFERENTIAL EQUATIONS WITH FRACTAL NOISE (1999) (19)
Spaces of generalized smoothness on $h$-sets and related Dirichlet forms (2006) (19)
Curvature Measures of Singular Sets (2020) (19)
Gradient type noises II – Systems of stochastic partial differential equations (2009) (19)
Random Cell Complexes and Generalised Sets (1988) (19)
Fractional differentiation in the self-affine case. IV — random measures (1994) (17)
Generalized Bessel and Riesz Potentials on Metric Measure Spaces (2009) (17)
Stochastic differential equations with fractal noise (2005) (16)
Potential spaces and traces of Lévy processes on h-sets (2009) (15)
Absolute curvature measures, II (1992) (14)
Nonosculating Sets of Positive Reach (1999) (14)
Absolute Curvature Measures (1989) (14)
Geometric measures for random mosaics in spherical spaces (1994) (13)
Palm Distributions in Homogeneous Spaces (1990) (13)
Gradient-type noises I–partial and hybrid integrals (2009) (13)
Semigroups, Potential Spaces and Applications to (S)PDE (2012) (12)
Fractal Geometry and Stochastics VI (2012) (12)
Forward Integrals and Stochastic Differential Equations (2002) (12)
Fractional differentiation in the self-affine case I – Random functions (1992) (11)
A remark on mixed curvature measures for sets with positive reach. (2002) (10)
THE AVERAGE FRACTAL DIMENSION AND PROJECTIONS OF MEASURES AND SETS IN Rn (1995) (9)
Kinematic Relations for Hausdorff Moment Measures in Spherical Spaces (1991) (9)
Polyhedron Theorems for Non‐Smooth Cell Complexes (1987) (9)
Regularity of the solutions to SPDEs in metric measure spaces (2014) (8)
Curvature-direction measures of self-similar sets (2011) (8)
Topological Mean Value Relations for Random Cell Complexes (1992) (8)
Jump processes and nonlinear fractional heat equations on metric measure spaces (2006) (7)
Elementary Pathwise Methods for Nonlinear Parabolic and Transport Type Stochastic Partial Differential Equations with Fractal Noise (2014) (6)
Restricting isotropic α-stable Lévy processes from to fractal sets (2006) (6)
The Average Density of Self‐Conformal Measures (2001) (6)
Random set processes in homogeneous RIEMANNian spaces (1983) (5)
Fractional differentiation in the self-affine case II - Extremal processes (1993) (5)
Thick section stereology for random fibres (1984) (5)
Riesz Potentials and Besov Spaces on Fractals (2003) (4)
Conditional characteristic functions of processes related to fractional Brownian motion (2010) (4)
Curvature measures and random sets II (1986) (3)
The Mean Minkowski Content of Homogeneous Random Fractals (2020) (2)
Ergodic Properties of General PALM Measures (1980) (2)
Schröodinger equations and heat kernel upper bounds on metric spaces (2010) (2)
Local Dimensions, Average Densities and Self-Conformal Measures (1998) (2)
Background from Differential Geometry and Topology (2019) (1)
S)PDE on Fractals and Gaussian Noise (2015) (1)
PATHWISE SOLUTION OF ANTICIPATING SDEWITH MIXED DRIVINGM (2007) (1)
Curvature measures and fractals (2006) (1)
Forward integrals and SDE with fractal noise (2019) (1)
Mini-Workshop: Geometric Measure Theoretic Approaches to Potentials on Fractals and Manifolds (2007) (1)
Unions of Sets with Positive Reach (2019) (0)
Approximation of Curvatures (2019) (0)
Sets with Positive Reach (2019) (0)
Stoyan, D., W. Kendall, J. Mecke: Stochastic Geometry and Its Applications. J. Wiley & Sons/Akademie-Verlag, Berlin 1987, 345 pp. (2007) (0)
Integral Geometric Formulas (2019) (0)
Curvature-direction measures of self-similar sets (2012) (0)
Fractal Versions of Curvatures (2019) (0)
Extensions of Curvature Measures to Larger Set Classes (2019) (0)
Legendrian Cycles and Curvatures (2014) (0)
Semigroups, Potential Spaces and Applications to (S)PDE (2011) (0)
Wicksell's corpuscle problem in spherical spaces (1990) (0)
Characterization Theorems (2019) (0)
Dimensions of measures under orthogonal projections (1996) (0)
Legendrian Cycles and Curvatures (2014) (0)
Stability Properties of Fractal Curvatures (2014) (0)
Background from Geometric Measure Theory (2019) (0)
Regularity of the solutions to SPDEs in metric measure spaces (2015) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 19 / 2007 Mini-Workshop : Geometric Measure Theoretic Approaches to Potentials on Fractals and Manifolds Organised (2007) (0)
Background from Convex Geometry (2019) (0)
SPDE with fractal noise in metric measure spaces (2012) (0)
LOCAL AND GLOBAL CURVATURES OF SELF-SIMILAR FRACTALS (2011) (0)
VARIATIONAL PRINCIPLES FOR TOPOLOGICAL PRESSURE Dissertation (2018) (0)
Classification : Primary 60 H , Secondary 26 A 42 , 34 A (2005) (0)
Ergodic Properties of Random Fields and Images With Point Imbedded Processes (1983) (0)
Abstract of the Dissertation Complex Dimensions of Self-similar Systems By (2006) (0)

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