Michael Drmota

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Michael Drmota is affiliated with the following schools: TU Wien, University of Vienna

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Michael Drmota

Mathematics

#5391

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#7590

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Combinatorics

#81

World Rank

#88

Historical Rank

Measure Theory

#2864

World Rank

#3405

Historical Rank

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Mathematics

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According to Wikipedia, Michael Drmota is an Austrian mathematician and professor at TU Wien. He studied Mathematics at TU Wien and finished his PhD in 1986 under the supervision of Robert F. Tichy. At the same university he acquired habilitation in 1990 and is now full professor at the Institute of Discrete Mathematics and Geometry, where he also served as head of institute from 2004 to 2012.

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Michael Drmota'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

Sequences, Discrepancies and Applications (1997) (759)
Random Trees: An Interplay between Combinatorics and Probability (2009) (271)
Systems of functional equations (1997) (157)
Precise minimax redundancy and regret (2004) (97)
On the profile of random trees (1997) (94)
A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree (2009) (81)
The Profile of Binary Search Trees (2001) (69)
Formulae and Asymptotics for Coefficients of Algebraic Functions (2014) (60)
A Bivariate Asymptotic Expansion of Coefficients of Powers of Generating Functions (1994) (59)
Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent (2007) (58)
Asymptotic Study of Subcritical Graph Classes (2010) (55)
A functional limit theorem for the profile of search trees. (2006) (54)
An analytic approach to the height of binary search trees II (2003) (51)
The distribution of nodes of given degree in random trees (1999) (43)
Primes with an average sum of digits (2009) (42)
Profiles of random trees: correlation and width of random recursive trees and binary search trees (2005) (41)
Degree distribution in random planar graphs (2009) (40)
The sum‐of‐digits function of polynomial sequences (2011) (40)
Asymptotic Distributions and a Multivariate Darboux Method in Enumeration Problems (1994) (38)
A precise analysis of Cuckoo hashing (2012) (35)
Marking in Combinatorial Constructions: Generating Functions and Limiting Distributions (1995) (34)
Precise distribution properties of the van der Corput sequence and related sequences (2005) (33)
Images and Preimages in Random Mappings (1997) (31)
The distribution of the sum-of-digits function (1998) (30)
The Sum‐of‐Digits Function of Squares (2005) (30)
On the imperfection sensitivity of complete spherical shells (1987) (30)
A master theorem for discrete divide and conquer recurrences (2011) (30)
Vertices of given degree in series‐parallel graphs (2010) (30)
The shape of unlabeled rooted random trees (2010) (29)
The Distribution of Patterns in Random Trees (2006) (29)
The joint distribution of q-additive functions (2001) (28)
Bimodality and Phase Transitions in the Profile Variance of Random Binary Search Trees (2005) (26)
Tunstall Code, Khodak Variations, and Random Walks (2010) (26)
Generalized Thue-Morse sequences of squares (2012) (24)
Rarified sums of the Thue-Morse sequence (1999) (24)
ON THE DISCREPANCY OF SOME GENERALIZED KAKUTANI'S SEQUENCES OF PARTITIONS (2012) (24)
The expected profile of digital search trees (2011) (24)
An analytic approach to the height of binary search trees (2001) (23)
Mathematics and Computer Science Iii: "Algorithms, Trees, Combinatorics And Probabilities" (2004) (23)
Normality along squares (2018) (23)
The Zeckendorf expansion of polynomial sequences (2002) (22)
The height distribution of leaves in rooted trees (1994) (22)
Precise Asymptotic Analysis of the Tunstall Code (2006) (21)
Polynomial relations between polynomial roots (1995) (20)
Subsequences of automatic sequences and uniform distribution (2014) (20)
The Random Multisection Problem, Travelling Waves and the Distribution of the Height of m-Ary Search Trees (2006) (20)
On a mixed Littlewood conjecture in Diophantine approximation (2007) (19)
The maximum degree of random planar graphs (2012) (19)
Extremal Parameters in Sub-Critical Graph Classes (2013) (19)
The Maximum Degree of Series-Parallel Graphs (2011) (18)
The Variance of the height of binary search trees (2002) (18)
Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture (2015) (18)
Weyl sums over integers with affine digit restrictions (2010) (17)
Generalized Shannon Code Minimizes the Maximal Redundancy (2002) (17)
Precise average redundancy of an idealized arithmetic coding (2002) (17)
Relations between polynomial roots (1995) (17)
The Degree Distribution of Thickened Trees (2008) (15)
Stochastic analysis of tree–like data structures (2004) (15)
A Central Limit Theorem for the Number of Degree-k Vertices in Random Maps (2012) (15)
The register function for t-ary trees (2006) (14)
Newman's phenomenon for generalized Thue-Morse sequences (2008) (14)
The joint distribution of Q-additive functions on polynomials over finite fields (2005) (13)
The Thue-Morse sequence along squares is normal (2016) (13)
On a Conjecture of Cusick Concerning the Sum of Digits of n and n+t (2015) (13)
Mutual information for a deletion channel (2012) (13)
Subgraph statistics in subcritical graph classes (2015) (12)
Strata of random mappings – A combinatorial approach (1999) (12)
The Sum-of-Digits-Function and Uniform Distribution Modulo 1 (2001) (12)
Vertices of given degree in series-parallel graphs (2010) (12)
The Width of Galton-Watson Trees Conditioned by the Size (2004) (12)
Combinatorics, Automata and Number Theory: Analysis of digital functions and applications (2010) (11)
ASYMPTOTIC RESULTS ABOUT THE TOTAL BRANCH LENGTH OF THE BOLTHAU-SEN-SZNITMAN COALESCENT (2006) (11)
Irregularities of continuous distributions (1989) (11)
Sign-changes of the Thue-Morse fractal function and Dirichlet L-series (1995) (11)
Subsequences of automatic sequences indexed by ⌊nc⌋ and correlations (2012) (10)
PROFILE AND HEIGHT OF RANDOM BINARY SEARCH TREES (2004) (10)
On Nodes Of Given Degree In Random Trees (1996) (10)
Disproof of a conjecture by Rademacher on partial fractions (2013) (10)
Universal exponents and tail estimates in the enumeration of planar maps (2011) (10)
Irregularities of distributions with respect to polytopes (1996) (10)
Pattern occurrences in random planar maps (2018) (10)
The distribution of patterns in digital expansions (2000) (10)
Coefficients of algebraic functions: formulae and asymptotics (2013) (10)
On the Construction of (Explicit) Khodak's Code and Its Analysis (2008) (9)
Limiting Distributions in Branching Processes with Two Types of Particles (1997) (9)
Reinforced weak convergence of stochastic processes (2005) (9)
(Un)expected behavior of digital search tree profile (2009) (9)
The Complete Solution of the Competitive Rank Selection Problem (1998) (9)
Predecessors in Random Mappings (1996) (9)
Block additive functions on the Gaussian integers (2008) (9)
Infinite Systems of Functional Equations and Gaussian Limiting Distributions (2012) (9)
Functional limit theorems for digital expansions (2002) (8)
Linear-sized independent sets in random cographs and increasing subsequences in separable permutations (2021) (8)
A unified presentation of some urn models (2001) (8)
Exponential Limiting Distributions in Queueing Systems with Deadlines (1993) (8)
Special Issue on Analysis of Algorithms (2004) (8)
Extremal statistics on non-crossing configurations (2014) (8)
M\"obius orthogonality for the Zeckendorf sum-of-digits function (2017) (8)
The Number of Double Triangles in Random Planar Maps (2018) (8)
Mathematics and Computer Science III (2004) (7)
The parity of the Zeckendorf sum-of-digits function (2000) (7)
On the Discrepancy of Halton–Kronecker Sequences (2017) (7)
An Asymptotic Analysis of Labeled and Unlabeled k-Trees (2016) (7)
A Rigorous Proof of the Waterloo Algorithm for the Discrete Logarithm Problem (2002) (7)
Redundancy of Lossless Data Compression for Known Sources by Analytic Methods (2017) (7)
g-ADDITIVE FUNCTIONS AND WELL DISTRIBUTION (1997) (7)
Universal Singular Exponents in Catalytic Variable Equations (2020) (6)
Discrete Random Walks on One-Sided "Periodic" Graphs (2003) (6)
The maximum degree of planar graphs I. Series-parallel graphs (2010) (6)
Prime numbers in two bases (2020) (6)
C-Uniform Distribution on Compact Metric Spaces (1988) (6)
On the shape of the fringe of various types of random trees (2009) (6)
The variance of the height of digital search trees (2002) (6)
The sum of digits of primes inZ(i) (2007) (6)
The Height of Increasing Trees (2009) (6)
Introduction to Number Theory Papers by (2012) (6)
The Width Of Galton-Watson Trees (1999) (6)
Extended admissible functions and Gaussian limiting distributions (2005) (6)
The sum of digits of primes in $${\mathbb{Z}}$$[i] (2008) (5)
Embedded trees and the support of the ISE (2009) (5)
Additive relations with conjugate algebraic numbers (5)
The discrepancy of generalized Van-der-Corput–Halton sequences (2015) (5)
Limit Laws for the Number of Groups formed by Social Animals under the Extra Clustering Model (2014) (5)
Limit laws of planar maps with prescribed vertex degrees (2018) (5)
Asymptotic enumeration of reversible maps regardless of genus (2011) (5)
On the Exit Time of a Random Walk with Positive Drift (2007) (5)
Almost Every Tree With m Edges Decomposes K2m,2m (2013) (4)
Correlations on the Strata of a Random Mapping (1995) (4)
Graph limits of random graphs from a subset of connected k‐trees (2016) (4)
The analysis of the expected successful operation time of slotted Aloha (1993) (4)
Cut Vertices in Random Planar Maps (2021) (4)
RANDOMNESS AND NON‐RANDOMNESS PROPERTIES OF PIATETSKI‐SHAPIRO SEQUENCES MODULO m (2018) (4)
Modelling silicosis: The structure of equilibria (2019) (4)
A Gaussian limit process for optimal FIND algorithms (2013) (4)
THE PARITY OF THE SUM-OF-DIGITS-FUNCTION OF GENERALIZED ZECKENDORF REPRESENTATIONS* (1996) (3)
Asymmetric Rényi Problem and PATRICIA Tries (2016) (3)
s(N) - Uniform Distribution Modulo 1 (1995) (3)
Vertex Degrees in Planar Maps (2016) (3)
Maximal Independent Sets and Maximal Matchings in Series-Parallel and Related Graph Classes (2019) (3)
Digital Expansions with Respect to Different Bases (2003) (3)
FIBONACCI NUMBERS AND CONTINUED FRACTION EXPANSIONS (1993) (3)
On Robson's convergence and boundedness conjectures concerning the height of binary search trees (2004) (3)
Discrepancy of sequences (1997) (3)
Completely uniformly distributed sequences of matrices (1990) (2)
Benjamini-Schramm convergence of random planar maps (2018) (2)
Stochastic analysis of the extra clustering model for animal grouping (2016) (2)
The Instability Time Distribution Behavior of Slotted ALOHA (1994) (2)
The Asymptotic Number of Leftist Trees (2001) (2)
Pursuing the Giant in Random Graph Processes (2013) (2)
Digital Expansions and the Distribution of Related Functions (2000) (2)
Variable-to-variable codes with small redundancy rates (2004) (2)
On Linear Diophantine Equations and Fibonacci Numbers (1993) (2)
The Saturation Level in Binary Search Tree (2000) (2)
Node profiles of symmetric digital search trees: Concentration properties (2017) (2)
$C$-uniform distribution of entire functions (1988) (2)
Analysis of a Recurrence Related to Critical Nonhomogeneous Branching Processes (2006) (2)
On Generalized Independent Subsets of Trees (2007) (2)
Abstracts - BOOKLET (2004) (2)
Primes as sums of Fibonacci numbers (2021) (2)
Concentration Properties of Extremal Parameters in Random Discrete Structures (2006) (1)
Applications of uniformly distributed functions and sequences in statistic ergodic measuring techniques (1990) (1)
Synchronizing automatic sequences along Piatetski-Shapiro sequences (2022) (1)
Node Profiles of Symmetric Digital Search Trees (2017) (1)
Combinatorial Models for Cooperation Networks (2009) (1)
Möbius orthogonality of sequences with maximal entropy (2020) (1)
EQUIDISTRIBUTION OF DIVISORS IN RESIDUE CLASSES AND REPRESENTATIONS BY BINARY QUADRATIC FORMS (2013) (1)
A General Discrete Divide and Conquer Recurrence and Its Applications August 23 , 2010 (2010) (1)
Asymptotic distribution of functions on compact homogeneous spaces (1988) (1)
The height of q-Binary Search Trees (2002) (1)
An optimal lower bound for the discrepancy of c-uniformly distributed functions modulo (1988) (1)
SYSTEMS OF FUNCTIONAL EQUATIONS AND INFINITE DIMENSIONAL GAUSSIAN LIMITING DISTRIBUTIONS IN COMBINATORIAL ENUMERATION (2012) (1)
Equidistribution of Divisors and Representations by Binary Quadratic Forms (2007) (1)
General urn models with several types of balls and Gaussian limiting fields (2004) (1)
Asymmetric R\'enyi Problem (2017) (1)
Distribution properties of continuous curves (1989) (1)
Sequential Universal Compression for Non-Binary Sequences with Constrained Distributions (2019) (1)
On Generalized Fibonacci Numbers of Graphs (1990) (1)
Asymmetric Rényi Problem (2017) (1)
External Profile of Symmetric Digital Search Trees (Extended Abstract) (2017) (1)
Foreword from the Rector (2015) (0)
N T ] 2 2 Ja n 20 20 MÖBIUS ORTHOGONALITY OF SEQUENCES WITH MAXIMAL ENTROPY (2020) (0)
The Shape of Galton-Watson Trees and Pólya Trees (2009) (0)
Recursive Trees and Binary Search Trees (2009) (0)
On iterated weighted means of bounded sequences and uniform distribution (1991) (0)
General concepts of uniform distribution (1997) (0)
Lattice Path Counting 319 Tail Bounds for the Wiener Index of Random Trees (2008) (0)
Analysis of a Block Arithmetic Coding: Discrete divide and conquer recurrences (2011) (0)
Contributions to uniformly distributed functions, II. Completely uniformly distributed functions (1991) (0)
Effective Erdős–Wintner theorems for digital expansions (2021) (0)
Tries and Digital Search Trees (2009) (0)
ROBERT F. TICHY: 50 YEARS — THE UNREASONABLE EFFECTIVENESS OF A NUMBER THEORIST (2006) (0)
Foreword from the Dean (2015) (0)
Universal asymptotic properties of positive functional equations with one catalytic variable (2022) (0)
Analytic Combinatorics on Random Graphs (2009) (0)
LIPIcs, Volume 159, AofA 2020, Complete Volume (2020) (0)
Classes of Random Trees (2009) (0)
Some new results in summability theory (1990) (0)
An Asymptotic Analysis of Labeled and Unlabeled k-Trees (2015) (0)
Limit Theorems for A Degenerate Fixed Point Equation † (2007) (0)
Within the conference there will be plenary talks and minisymposia on special topics. Every participant can also give a contributed talk or present a poster. (2013) (0)
THE PROBABILISTIC METHOD, RANDOM GRAPHS AND STEIN’S METHOD (2006) (0)
Solutions of First Order Linear Partial Differential Equations Related to Urn Models and Central Limit Theorems (2016) (0)
Stochastic analysis of the extra clustering model for animal grouping (2015) (0)
Generalized Thue-Morse sequences of squares (2011) (0)
Chordal graphs with bounded tree-width (2022) (0)
Analysis of Algorithms (AofA) Part II: 1998-2000 ("Princeton-Barcelona-Gdansk") (2003) (0)
Preface (2017) (0)
AO. Univ.-Prof. Dr. Reinhard Winkler (1964–2021) An Obituary (2021) (0)
31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, AofA 2020, June 15-19, 2020, Klagenfurt, Austria (Virtual Conference) (2020) (0)
Sequential Universal Modeling for Non-Binary Sequences with Constrained Distributions (2020) (0)
A joint central limit theorem for the sum-of-digits function, and asymptotic divisibility of Catalan-like sequences (2018) (0)
PR ] 5 N ov 2 01 7 Asymmetric Rényi Problem (2018) (0)
The Vertical Profile of Trees (2009) (0)
Traveling Waves and the Height of Binary Search Trees (2003) (0)
SOLUTIONS OF FIRST ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS AND CENTRAL LIMIT THEOREMS (2016) (0)
Recursive Algorithms and the Contraction Method (2009) (0)
On a conjecture of Graham and Häggkvist for random trees (2013) (0)
Möbius orthogonality of sequences with maximal entropy (2022) (0)
A Central Limit Theorem for the Number of Degree-k Vertices in Random Maps (2013) (0)
Effective Erd\H{o}s-Wintner theorems for digital expansions (2020) (0)
Scaling limit of random k-trees (2016) (0)
Asymptotic Methods of Enumeration and Applications to Markov Chain Models (2005) (0)
On irregularities of distribution on the hyperbolic plane (1990) (0)
Random cubic planar maps (2022) (0)
Proceedings of the 2008 International Conference on Information Theory and Statistical Learning, ITSL 2008, Las Vegas, Nevada, USA, July 14-17, 2008 (2008) (0)
Universal Properties of Catalytic Variable Equations (2022) (0)
Analysis of a Re urren e Related toCriti al Nonhomogeneous Bran hing (2007) (0)
Enumerative Combinatorics (2019) (0)
Methods of Enumeration and Applications to Markov Chain Models (2007) (0)
Preface (2020) (0)
Advanced Tree Counting (2009) (0)
Correlations Mapping on the Strata of a Random (2007) (0)
Research Group for Combinatorics and Algorithms (2015) (0)
(Logarithmic) densities for automatic sequences along primes and squares (2020) (0)

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