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ORCIDLouis H. Kauffman
Person information
- affiliation: University of Illinois at Chicago, Department of Mathematics, Statistics, and Computer Science, Chicago, IL, USA
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Journal Articles
- 2024
[j85]David Chester
, Xerxes D. Arsiwalla, Louis H. Kauffman, Michel Planat, Klee Irwin:
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density. Symmetry 16(3): 316 (2024)- 2023
- [j84]Louis H. Kauffman:
Autopoiesis and Eigenform. Comput. 11(12): 247 (2023) - 2022
- [j83]Scott Baldridge, Louis H. Kauffman, William Rushworth:
On ribbon graphs and virtual links. Eur. J. Comb. 103: 103520 (2022) - [j82]Louis H. Kauffman:
Calculus, Gauge Theory and Noncommutative Worlds. Symmetry 14(3): 430 (2022) - [j81]Neslihan Gügümcü, Bostjan Gabrovsek, Louis H. Kauffman:
Invariants of Bonded Knotoids and Applications to Protein Folding. Symmetry 14(8): 1724 (2022) - 2021
- [j80]Manousos Manouras, Sofia Lambropoulou, Louis H. Kauffman:
Finite type invariants for knotoids. Eur. J. Comb. 98: 103402 (2021) - [j79]Louis H. Kauffman:
Iterants, Majorana Fermions and the Majorana-Dirac Equation. Symmetry 13(8): 1373 (2021) - 2019
- [j78]Louis H. Kauffman, Eshan Mehrotra:
Topological aspects of quantum entanglement. Quantum Inf. Process. 18(3): 76 (2019) - 2018
- [j77]Louis H. Kauffman:
Virtual Logic-The Erdos Machine. Cybern. Hum. Knowing 25(4): 99-106 (2018) - [j76]Louis H. Kauffman:
Non-Commutative Worlds and Classical Constraints. Entropy 20(7): 483 (2018) - [j75]Louis H. Kauffman, Samuel J. Lomonaco:
Braiding, Majorana fermions, Fibonacci particles and topological quantum computing. Quantum Inf. Process. 17(8): 201 (2018) - [j74]Louis H. Kauffman, Samuel J. Lomonaco:
Correction to: Braiding, Majorana fermions, Fibonacci particles and topological quantum computing. Quantum Inf. Process. 17(11): 308 (2018) - 2017
- [j73]Louis H. Kauffman:
Virtual Logic-The Logic of Quantum Theory. Cybern. Hum. Knowing 24(1): 81-88 (2017) - [j72]Louis H. Kauffman:
Imaginary Values. Cybern. Hum. Knowing 24(3-4): 189-223 (2017) - [j71]Louis H. Kauffman:
Virtual Logic-Cookie and Parabel Discuss Laws of Form. Cybern. Hum. Knowing 24(3-4): 261-268 (2017) - [j70]Neslihan Gügümcü, Louis H. Kauffman:
New invariants of knotoids. Eur. J. Comb. 65: 186-229 (2017) - [j69]Louis H. Kauffman:
Iterant Algebra. Entropy 19(7): 347 (2017) - [j68]Fahimeh Nazarimehr, Sajad Jafari, Seyed Mohammad Reza Hashemi Golpayegani, Louis H. Kauffman:
Investigation of Bifurcations in the Process Equation. Int. J. Bifurc. Chaos 27(13): 1750201:1-1750201:18 (2017) - [j67]Louis H. Kauffman:
A concise approach to eigenform and reflexivity. Kybernetes 46(9): 1542-1554 (2017) - [j66]Louis H. Kauffman, Sofia Lambropoulou:
Skein Invariants of Links and Their State Sum Models. Symmetry 9(10): 226 (2017) - 2016
- [j65]Louis H. Kauffman:
Remembrance of Things Past. Cybern. Hum. Knowing 23(1): 78-86 (2016) - [j64]Louis H. Kauffman:
Virtual Logic-Finite Language and the Imagination of Infinity. Cybern. Hum. Knowing 23(1): 103-110 (2016) - [j63]Louis H. Kauffman:
Virtual Logic-George Spencer-Brown (2 April 1923 - 25 August 2016). Cybern. Hum. Knowing 23(3): 79-80 (2016) - 2015
- [j62]Louis H. Kauffman:
Infinite computations and the generic finite. Appl. Math. Comput. 255: 25-35 (2015) - [j61]Phillip Guddemi, Søren Brier, Louis H. Kauffman:
Foreword: Ranulph Glanville and How to Live the Cybernetics of Unknowing A Festschrift Celebration of the Influence of a Researcher. Cybern. Hum. Knowing 22(2-3): 7-10 (2015) - [j60]Louis H. Kauffman:
Virtual Logic-Laws of Form and the Mobius Band. Cybern. Hum. Knowing 22(2-3): 157-166 (2015) - [j59]Donald Crowe, György Darvas, Dirk Huylebrouck, Jay Kappraff, Louis H. Kauffman, Sofia Lambropoulou, Józef H. Przytycki, Ljiljana Radovic, Radmila Sazdanovic, Vera W. de Spinadel, Ana Zekovic:
In Memoriam: Slavik Jablan 1952-2015. Symmetry 7(3): 1261-1274 (2015) - 2014
- [j58]Louis H. Kauffman:
Virtual Logic-Set Theory and the Continuum Hypothesis. Cybern. Hum. Knowing 21(3): 63-74 (2014) - [j57]Louis H. Kauffman:
On Creation From Nothing. Cybern. Hum. Knowing 21(3): 76-77 (2014) - [j56]Louis H. Kauffman:
Virtual Logic-The Yablo Paradox. Cybern. Hum. Knowing 21(4): 69-78 (2014) - [j55]Allison Henrich, Louis H. Kauffman:
Unknotting Unknots. Am. Math. Mon. 121(5): 379-390 (2014) - 2013
- [j54]Louis H. Kauffman:
Virtual Logic-Extainers, Containers and the Logic of DNA. Cybern. Hum. Knowing 20(1-2): 159-167 (2013) - [j53]Louis H. Kauffman:
Laws of Form and Topology: Presentation and Discussion. Cybern. Hum. Knowing 20(3-4): 50-100 (2013) - 2012
- [j52]Louis H. Kauffman:
Categorical pairs and the indicative shift. Appl. Math. Comput. 218(16): 7989-8004 (2012) - [j51]Louis H. Kauffman:
Virtual Logic-The Combinatorial Hierarchy: 'One, Two, Three, Infinity!'. Cybern. Hum. Knowing 19(3): 83-91 (2012) - [j50]Louis H. Kauffman:
Following Knots down Their Energy Gradients. Symmetry 4(2): 276-284 (2012) - 2011
- [j49]Louis H. Kauffman:
Peirce's Existential Graphs. Cybern. Hum. Knowing 18(1-2): 49-81 (2011) - [j48]Louis H. Kauffman:
Eigenforms and Quantum Physics. Cybern. Hum. Knowing 18(3-4): 111-121 (2011) - [j47]Louis H. Kauffman:
Virtual Logic-Number and Imagination. Cybern. Hum. Knowing 18(3-4): 187-196 (2011) - 2010
- [j46]Louis H. Kauffman:
Virtual Logic-Circularity, Knots and the ASC. Cybern. Hum. Knowing 17(1-2): 157-164 (2010) - [j45]Louis H. Kauffman:
Virtual Logic - The Square Root of Two. Cybern. Hum. Knowing 17(4): 81-88 (2010) - 2009
- [j44]Louis H. Kauffman:
Virtual Logic: Cantor's Paradise and the Parable of Frozen Time. Cybern. Hum. Knowing 16(1-2): 143-151 (2009) - [j43]Louis H. Kauffman, Pedro Lopes:
Determinants of Rational Knots. Discret. Math. Theor. Comput. Sci. 11(2): 111-122 (2009) - 2008
- [j42]Louis H. Kauffman, Pedro Lopes:
On the minimum number of colors for knots. Adv. Appl. Math. 40(1): 36-53 (2008) - [j41]Louis H. Kauffman:
Virtual Logic: The Berry Paradox and Chaitin's Theory of Algorithmic Complexity. Cybern. Hum. Knowing 15(2): 75-82 (2008) - [j40]Yong Zhang, Louis H. Kauffman:
Topological-Like Features in Diagrammatical Quantum Circuits. Quantum Inf. Process. 7(1): 3-32 (2008) - [j39]Samuel J. Lomonaco, Louis H. Kauffman:
Quantum knots and mosaics. Quantum Inf. Process. 7(2-3): 85-115 (2008) - 2007
- [j38]Louis H. Kauffman:
Virtual Logic - The Small Machine. Cybern. Hum. Knowing 14(1): 107-115 (2007) - [j37]Samuel J. Lomonaco Jr., Louis H. Kauffman:
Is Grover's Algorithm a Quantum Hidden Subgroup Algorithm? Quantum Inf. Process. 6(6): 461-476 (2007) - 2006
- [j36]Louis H. Kauffman:
Virtual Boundaries. Cybern. Hum. Knowing 13(2): 94-104 (2006) - 2005
- [j35]Louis H. Kauffman:
Virtual Logic: The One and the Many. Cybern. Hum. Knowing 12(1-2): 159-167 (2005) - [j34]Louis H. Kauffman:
Reformulating the map color theorem. Discret. Math. 302(1-3): 145-172 (2005) - [j33]Yong Zhang, Louis H. Kauffman, Mo-Lin Ge:
Yang-Baxterizations, Universal Quantum Gates and Hamiltonians. Quantum Inf. Process. 4(3): 159-197 (2005) - 2004
- [j32]Louis H. Kauffman, Sofia Lambropoulou:
On the classification of rational tangles. Adv. Appl. Math. 33(2): 199-237 (2004) - [j31]Louis H. Kauffman:
Virtual Logic: Fragments Of The Void - Selecta. Cybern. Hum. Knowing 11(1): 99-107 (2004) - [j30]Louis H. Kauffman:
Virtual Logic-Syllogisms. Cybern. Hum. Knowing 11(3): 81-94 (2004) - 2003
- [j29]Louis H. Kauffman:
Virtual Logic - Thoughts about Set Theory. Cybern. Hum. Knowing 10(2): 89-98 (2003) - [j28]Louis H. Kauffman:
Eigenforms - Objects as Tokens for Eigenbehaviors. Cybern. Hum. Knowing 10(3-4): 73-90 (2003) - [j27]Louis H. Kauffman, Robin Thomas:
Temperely-Lieb Algebras and the Four-Color Theorem. Comb. 23(4): 653-667 (2003) - 2002
- [j26]Louis H. Kauffman:
Laws of Form and Form Dynamics. Cybern. Hum. Knowing 9(2): 49-63 (2002) - 2001
- [j25]Louis H. Kauffman, Søren Brier:
Peirce and Spencer-Brown: history and synergies in cybersemiotics. Cybern. Hum. Knowing 8(1-2): 3-5 (2001) - [j24]Louis H. Kauffman:
The mathematics of Charles Sanders Peirce. Cybern. Hum. Knowing 8(1-2): 79-110 (2001) - [j23]Louis H. Kauffman:
On the cybernetics of fixed points. Cybern. Hum. Knowing 8(1-2): 133-140 (2001) - [j22]Louis H. Kauffman:
Virtual logic - reasoning and playing with imaginary boolean values. Cybern. Hum. Knowing 8(3): 77-85 (2001) - [j21]Louis H. Kauffman, Christina Weiss:
Virtual logic - The key to Frege. Cybern. Hum. Knowing 8(4): 75-86 (2001) - [j20]Louis H. Kauffman:
On the map theorem. Discret. Math. 229(1-3): 171-184 (2001) - 2000
- [j19]Louis H. Kauffman:
Virtual logic - infinitesimals and zero numbers. Cybern. Hum. Knowing 7(1): 83-90 (2000) - [j18]Louis H. Kauffman:
Virtual logic - formal arithmetic. Cybern. Hum. Knowing 7(4): 91-95 (2000) - 1999
- [j17]Louis H. Kauffman:
What Is a Number? Cybern. Syst. 30(2): 113-130 (1999) - [j16]Hector Sabelli, Louis H. Kauffman:
The Process Equation: Formulating and Testing the Process Theory of Systems. Cybern. Syst. 30(4): 261-294 (1999) - [j15]Louis H. Kauffman:
Virtual logic - The Flagg Resolution. Cybern. Hum. Knowing 6(1): 87-96 (1999) - [j14]Louis H. Kauffman:
Virtual logic - The MetaGame Paradox. Cybern. Hum. Knowing 6(4): 73-79 (1999) - [j13]Louis H. Kauffman:
Virtual Knot Theory. Eur. J. Comb. 20(7): 663-691 (1999) - 1998
- [j12]Louis H. Kauffman, Hector Sabelli:
The Process Equation. Cybern. Syst. 29(4): 345-362 (1998) - [j11]Louis H. Kauffman:
Virtual logic - the calculus of indications. Cybern. Hum. Knowing 5(1): 63-68 (1998) - [j10]Louis H. Kauffman:
Virtual logic - self-reference and the calculus of indications. Cybern. Hum. Knowing 5(2): 75-82 (1998) - [j9]Louis H. Kauffman:
Virtual Logic - symbolic logic and the calculus of indications. Cybern. Hum. Knowing 5(3): 63-70 (1998) - [j8]Louis H. Kauffman:
Virtual logic - The Smullyan Machine. Cybern. Hum. Knowing 5(4): 71-80 (1998) - 1997
- [j7]Robert P. Grzeszczuk, Milana Huang, Louis H. Kauffman:
Physically-Based Stochastic Simplification of Mathematical Knots. IEEE Trans. Vis. Comput. Graph. 3(3): 262-272 (1997) - 1994
- [j6]François Jaeger, Louis H. Kauffman, Hubert Saleur:
The Conway Polynomial in R3 and in Thickened Surfaces: A New Determinant Formulation. J. Comb. Theory B 61(2): 237-259 (1994) - [j5]John C. Hart, George K. Francis, Louis H. Kauffman:
Visualizing quaternion rotation. ACM Trans. Graph. 13(3): 256-276 (1994) - 1993
- [j4]John C. Hart, Gordon W. Lescinsky, Daniel J. Sandin, Thomas A. DeFanti, Louis H. Kauffman:
Scientific and artistic investigation of multi-dimensional fractals on the AT&T Pixel Machine. Vis. Comput. 9(7): 346-355 (1993) - 1992
- [j3]Louis H. Kauffman, Sóstenes Lins:
Decomposition of the vertex group of 3-manifolds. Discret. Math. 103(1): 49-55 (1992) - 1990
- [j2]Louis H. Kauffman:
Map coloring and the vector cross product. J. Comb. Theory B 48(2): 145-154 (1990) - 1989
- [j1]Louis H. Kauffman:
A Tutte polynomial for signed graphs. Discret. Appl. Math. 25(1-2): 105-127 (1989)
Conference and Workshop Papers
- 2014
- [c7]Louis H. Kauffman, Marius Buliga:
Chemlambda, Universality and Self-Multiplication. ALIFE 2014: 490-497 - 2007
- [c6]Louis H. Kauffman, Samuel J. Lomonaco:
Spin Networks, Quantum Topology and Quantum Computation. WoLLIC 2007: 248-263 - 1996
- [c5]Milana Huang, Robert P. Grzeszczuk, Louis H. Kauffman:
Untangling Knots by Stochastic Energy Optimization. IEEE Visualization 1996: 279-286 - 1994
- [c4]Louis H. Kauffman:
Knot Automata. ISMVL 1994: 328-333 - 1990
- [c3]John C. Hart, Louis H. Kauffman, Daniel J. Sandin:
Interactive Visualization of Quaternion Julia Sets. IEEE Visualization 1990: 209-218 - 1989
- [c2]John C. Hart, Daniel J. Sandin, Louis H. Kauffman:
Ray tracing deterministic 3-D fractals. SIGGRAPH 1989: 289-296 - 1978
- [c1]Louis H. Kauffman:
De Morgan Algebras - completeness and recursion. MVL 1978: 82-86
Parts in Books or Collections
- 2016
- [p1]Louis H. Kauffman:
The Unknotting Problem. Open Problems in Mathematics 2016: 303-345
Informal and Other Publications
- 2014
- [i2]Marius Buliga, Louis H. Kauffman:
Chemlambda, universality and self-multiplication. CoRR abs/1403.8046 (2014) - 2013
- [i1]Marius Buliga, Louis H. Kauffman:
GLC actors, artificial chemical connectomes, topological issues and knots. CoRR abs/1312.4333 (2013)
Coauthor Index
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