Patrick Dehornoy

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Patrick Dehornoy
Publication record
134 papers · 2,723 citations · H-index 26

PAPERS

The Calculus of Braids
20210 citationsauthor #1
The Dynnikov Coordinates
20210 citationsauthor #1
A cancellativity criterion for presented monoids
20188 citationsauthor #1
Garside combinatorics for Thompson’s monoid $F^+$ and a hybrid with the braid monoid $B_{\infty }^{+}$
20183 citationsauthor #1
A cancellativity criterion for presented monoids
20180 citationsauthor #1
Multifraction reduction IV: Padding and Artin–Tits monoids of sufficiently large type
20178 citationsauthor #1
The braid shelf
20172 citationsauthor #1
Some aspects of the SD-world
20174 citationsauthor #1
Multifraction reduction II: Conjectures for Artin-Tits groups
20169 citationsauthor #1
Multifraction reduction III: The case of interval monoids
201610 citationsauthor #1
Quadratic normalisation in monoids
20165 citationsauthor #1
Multifraction reduction i: The 3-ore case and artin-tits groups of type fc
201613 citationsauthor #1
Foundations of Garside theory (EMS Tracts in Mathematics 22)
201521 citationsauthor #1
Extending the Hurwitz action to shelves that are not racks (Intelligence of Low-dimensional Topology)
20151 citationsauthor #1
Garside and Quadratic Normalisation: A Survey
20156 citationsauthor #1
Quadratic normalization in monoids
20158 citationsauthor #1
Garside families in Artin–Tits monoids and low elements in Coxeter groups
201422 citationsauthor #1
Laver’s results and low-dimensional topology
20141 citationsauthor #1
Set-theoretic solutions of the Yang–Baxter equation, RC-calculus, and Garside germs
201494 citationsauthor #1
Addenda to "Foundations of Garside Theory"
20141 citationsauthor #1
Two- and three-cocycles for Laver tables
201411 citationsauthor #1
Dual Garside structure of braids and free cumulants of products
20144 citationsauthor #2
LAVER’S RESULTS AND LOW-DIMENSIONAL TOPOLOGY
20148 citationsauthor #1
Foundations of Garside Theory
2013172 citationsauthor #1
Coxeter-like groups for groups of set-theoretic solutions of the Yang--Baxter equation
20137 citationsauthor #1
Algorithms for Garside calculus
20138 citationsauthor #1
Iwc 2013 2nd International Workshop on Confluence Program Committee Three Termination Problems Confluence and Infinity -a Kaleidoscopic View Disproving Confluence of Term Rewriting Systems by Interpretation and Ordering (extended Abstract)
20130 citationsauthor #3
Coxeter-like groups for set-theoretic solutions of the Yang–Baxter equation
20138 citationsauthor #1
Garside families and Garside germs
201230 citationsauthor #1
Commentationes Mathematicae Universitatis Carolinae
20120 citationsauthor #1
Monoids of O-type, subword reversing, and ordered groups
201215 citationsauthor #1
Tamari Lattices and the Symmetric Thompson Monoid
20116 citationsauthor #1
Ordered Groups and Topology
20110 citationsauthor #2
A conjecture about Artin-Tits groups
20118 citationsauthor #1
BRAID ORDER, SETS, AND KNOTS
20111 citationsauthor #1
Bilan des primes d'excellence scientifique (PES) CNRS 2011
20110 citationsauthor #2
Elementary Embeddings and Algebra
201017 citationsauthor #1
On the rotation distance between binary trees
200930 citationsauthor #1
The Subword Reversing Method
200934 citationsauthor #1
Combinatorial distance between braid words
20090 citationsauthor #1
On the distance between the expressions of a permutation
200915 citationsauthor #1
Automorphisms of a free group
20082 citationsauthor #1
Ordering Braids
200899 citationsauthor #1
Dual braid monoids
20086 citationsauthor #1
Bi-ordering the pure braid groups
20080 citationsauthor #1
Left-Garside categories, self-distributivity, and braids
20087 citationsauthor #1
The space of all braid orderings
20080 citationsauthor #1
Applications of the braid ordering
20080 citationsauthor #1
Open questions and extensions
20080 citationsauthor #1
A linear ordering of braids
20082 citationsauthor #1
Connection with the Garside structure
20080 citationsauthor #1
CONVERGENCE OF HANDLE REDUCTION OF BRAIDS
20072 citationsauthor #1
Unprovability results involving braids
200711 citationsauthor #2
Alternating normal forms for braids and locally Garside monoids monoids
200740 citationsauthor #1
Efficient solutions to the braid isotopy problem
200735 citationsauthor #1
Using groups for investigating rewrite systems
20064 citationsauthor #1
Using shifted conjugacy in braid-based cryptography
200636 citationsauthor #1
Entity authentication schemes using braid word reduction
200665 citationsauthor #2
Still another approach to the braid ordering
20058 citationsauthor #1
FREE AUGMENTED LD-SYSTEMS
20057 citationsauthor #1
Combinatorics of normal sequences of braids
200520 citationsauthor #1
On Word Reversing in Braid Groups
20048 citationsauthor #1
LECTURE NOTES ON ARTIN-TITS GROUPS
20040 citationsauthor #1
Geometric presentations for Thompson's groups
200451 citationsauthor #1
Geometric presentations for Thompson's groups and the multiscaled braid group
20041 citationsauthor #1
Disks in trivial braid diagrams
20040 citationsauthor #1
Braid-based cryptography
200499 citationsauthor #1
DIAGRAMS COLOURINGS AND APPLICATIONS
20040 citationsauthor #1
The group of parenthesized braids
200488 citationsauthor #1
RECENT PROGRESS ON THE CONTINUUM HYPOTHESIS (AFTER WOODIN)
20037 citationsauthor #1
The group of fractions of a torsion free lcm monoid is torsion free
200313 citationsauthor #1
Braids in trivial braid diagrams
20030 citationsauthor #1
Addendum to "Gaussian groups are torsion free"
20030 citationsauthor #1
A CONJECTURE ABOUT CONJUGACY IN FREE GROUPS
20031 citationsauthor #1
Why are braids orderable
200298 citationsauthor #1
Contemporary Mathematics THIN GROUPS OF FRACTIONS
20020 citationsauthor #1
Thin groups of fractions
200112 citationsauthor #1
Study of an identity
20019 citationsauthor #1
Homology of gaussian groups
200151 citationsauthor #1
Complete positive group presentations
200162 citationsauthor #1
The group of self-distributivity is bi-orderable
20010 citationsauthor #1
The geometry monoid of left self-distributivity
20015 citationsauthor #1
More about the Laver Tables
20000 citationsauthor #1
The Braid Order
20000 citationsauthor #1
The Group of Left Self-Distributivity
20000 citationsauthor #1
Braids and self-distributivity
2000192 citationsauthor #1
The Geometry Monoid
20000 citationsauthor #1
The Fine Structure of LD-Equivalence
20007 citationsauthor #1
The Order on Positive Braids
20000 citationsauthor #1
More LD-Systems
20000 citationsauthor #1
Construction of Self-Distributive Operations and Charged Braids
20005 citationsauthor #1
Orders on Free LD-systems
20000 citationsauthor #1
On completeness of word reversing
200015 citationsauthor #1
Braids vs. Self-Distributive Systems
20000 citationsauthor #1
Three‐Dimensional Realizations of Braids
19999 citationsauthor #1
ACTION OF BRAIDS ON SELF-DISTRIBUTIVE SYSTEMS
19990 citationsauthor #1
Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
1999304 citationsauthor #1
STRANGE QUESTIONS ABOUT BRAIDS
199911 citationsauthor #1
Transfinite braids and left distributive operations
19988 citationsauthor #1
Theorem Proving by Chain Resolution
19980 citationsauthor #1

TIMELINE

1978 32 citations

1983 3 citations

1986 17 citations

1988 15 citations

1989 49 citations

1990 0 citations

1991 1 citations

1992 22 citations

1993 19 citations

1994 231 citations

1995 47 citations

1996 47 citations

1997 213 citations

1998 45 citations

1999 324 citations

2000 219 citations

2001 139 citations

2002 98 citations

2003 21 citations

2004 247 citations

2005 35 citations

2006 105 citations

2007 88 citations

2008 116 citations

2009 79 citations

2010 17 citations

2011 15 citations

2012 45 citations

2013 195 citations

2014 141 citations

2015 36 citations

2016 37 citations

2017 14 citations

2018 11 citations

2021 0 citations

Unknown 1 citations

Patrick Dehornoy

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