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Sequence of moves on a lattice
path. A self-avoiding polygon (SAP) is a closed self-avoiding walk on a lattice. Very little is known rigorously about the self-avoiding walk from a mathematical
Self-avoiding_walk
Number associated with self-avoiding walks
the connective constant is a numerical quantity associated with self-avoiding walks on a lattice. It is studied in connection with the notion of universality
Connective_constant
Process forming a path from many random steps
walk; still, the behavior of any model of a random walker is obtainable using computers. Examples include: The self-avoiding walk. The self-avoiding walk
Random_walk
Field of physics that studies polymers
the chain, and leads to a self-avoiding random walk. Self-avoiding random walks have different statistics to simple random walks. The statistics of a single
Polymer_physics
Collection of models with the same renormalization group flow limit
"Scale-free Monte Carlo method for calculating the critical exponent γ of self-avoiding walks". J. Phys. A: Math. Theor. 50 (26): 264003. arXiv:1701.08415. Bibcode:2017JPhA
Universality_class
Idealization in polymer thermodynamics
polymers to be treated with simplified models as either a random walk or a self-avoiding walk, which can simplify the treatment considerably. For an actual
Kuhn_length
British mathematical physicist
Thomas C. Spencer introduced "lace expansion" for the analysis of the self-avoiding walk. From 2003 to 2005, Brydges was president of International Association
David_Brydges
French mathematician
and with it phase transitions. The pair investigated the number of self-avoiding walks that were possible in hexagonal lattices, connecting combinatorics
Hugo_Duminil-Copin
Automated methods for the creation of mazes
but harder to find the way anywhere else. Maze solving algorithm Self-avoiding walk Brute-force search Wilson, David Bruce (May 22–24, 1996). "Generating
Maze_generation_algorithm
Curve whose range contains the unit square
curves (FASS is an acronym for "approximately space-Filling, self-Avoiding, Simple, and Self-similar" curves) can be thought of as finite approximations
Space-filling_curve
Sequence of edges which join a sequence of vertices on a given graph
Dijkstra's algorithm Bellman–Ford algorithm Floyd–Warshall algorithm Self-avoiding walk Shortest-path graph McCuaig 1992, p. 205. Bender & Williamson 2010
Path_(graph_theory)
form of Monte Carlo algorithm used to generate configurations of self-avoiding walks, typically on a lattice. The algorithm typically begins with a straight
Pivot_algorithm
Branch of discrete mathematics
Combinatorial Miscellany (PDF) – via www-math.mit.edu. Bóna, Miklós (2011). A Walk Through Combinatorics (3rd ed.). pp. 978–981 – via worldscientific.com.
Combinatorics
Mathematical problem set on a chessboard
queens puzzle George Koltanowski Longest uncrossed knight's path Self-avoiding walk Brown, Alfred James (2017). Knight's Tours and Zeta Functions (MS
Knight's_tour
Continuous function that is not absolutely continuous
exist for more general normalized Gibb's measures supported on self-conformal and self-similar sets. Hermann Minkowski's question mark function loosely
Cantor_function
Continuous probability distribution, named after Benjamin Gompertz
network theory, particularly the Erdős–Rényi model, the walk length of a random self-avoiding walk (SAW) is distributed according to the Gompertz distribution
Gompertz_distribution
Number, approximately 0.916
1088/0305-4470/10/6/004. MR 0489559. Kasteleyn, P. W. (1963). "A soluble self-avoiding walk problem". Physica. 29 (12): 1329–1337. Bibcode:1963Phy....29.1329K
Catalan's_constant
Natural number
also: a Recontres number with one fixed point the number of closed self-avoiding walks from the origin in 4 steps Weisstein, Eric W. "Composite Number"
264_(number)
American mathematician (1931–2019)
Madras, N. and Slade, G., The self-avoiding walk, Birkhäuser, Boston, 1993. Kesten, H., On the number of self-avoiding walks. I and II. J. Math. Phys. 4
Harry_Kesten
Canadian mathematician
applications to probability theory and statistical mechanics, such as self-avoiding random walks and their enumeration, random graphs, percolation theory, and
Gordon_Douglas_Slade
ISBN 978-0-231-11638-1. Mireille Bousquet-Mélou. Two-dimensional self-avoiding walks (PDF). CNRS, LaBRI, Bordeaux, France. Hugo Duminil-Copin & Stanislav
List of mathematical constants
List_of_mathematical_constants
British mathematician
mathematician best known for his foundational work in the theory of self-avoiding walks and percolation theory. Hammersley was born in Helensburgh in Dunbartonshire
John_Hammersley
polar (P), and the folding of a protein sequence is defined as a self-avoiding walk in a 2D or 3D lattice. The HP model imitates the hydrophobic effect
Hydrophobic-polar protein folding model
Hydrophobic-polar_protein_folding_model
Fractal first proposed by Hermann Minkowski
a quadratic Koch island or Minkowski island/[snow]flake: Islands Self-avoiding walk Vicsek fractal Quadratic Koch curve type 2 Quadratic Koch curve type
Minkowski_sausage
Concept in probability theory
critical percolation, the critical Ising model, the double-dimer model, self-avoiding walks, and other critical statistical mechanics models that exhibit conformal
Schramm–Loewner_evolution
American chemist (1910–1985)
Flory–Stockmayer theory Random sequential adsorption Star-shaped polymer Self-avoiding walk Awards Nobel Prize for Chemistry (1974) National Medal of Science
Paul_Flory
Fractal creation method
fractal theory such as classification and identification. The new fractal is self-similar to the original in some important features such as fractal dimension
Chaos_game
Natural number
Foundation. Sloane, N. J. A. (ed.). "Sequence A037245 (Number of unrooted self-avoiding walks of n steps on square lattice)". The On-Line Encyclopedia of Integer
147_(number)
of the Van der Waerden numbers Finding a function to model n-step self-avoiding walks Arnold–Givental conjecture and Arnold conjecture – relating symplectic
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
walks. It measures the diversity of self-avoiding walks which start from a given node. A walk on a network is a sequence of adjacent vertices; a self-avoiding
Node_influence_metric
Feder, J., "Fractals", Plenum Press, New York, (1988). Hull-generating walks M Sahini; M Sahimi (2003). Applications Of Percolation Theory. CRC Press
List of fractals by Hausdorff dimension
List_of_fractals_by_Hausdorff_dimension
Topics referred to by the same term
SAWStudio (Software Audio Workshop), a digital audio workstation Self-avoiding walk, a mathematical sequence Submerged arc welding Surface acoustic wave
Saw_(disambiguation)
American mathematical physicist
Together with David Brydges, he proved that the scaling limit of the self-avoiding walk in dimension greater or equal than 5 is Gaussian, with variance growing
Thomas Spencer (mathematical physicist)
Thomas_Spencer_(mathematical_physicist)
Threshold of percolation theory models
the 'dimer covering' problem. System is composed of ordinary (non-avoiding) random walks of length l on the square lattice. For disks, n c = 4 r 2 N / L
Percolation_threshold
Infinitely detailed mathematical structure
– use stochastic rules; e.g., Lévy flight, percolation clusters, self avoiding walks, fractal landscapes, trajectories of Brownian motion and the Brownian
Fractal
2002 coming-of-age romantic drama film by Adam Shankman
A Walk to Remember is a 2002 American coming-of-age romantic drama film directed by Adam Shankman and written by Karen Janszen, based on Nicholas Sparks'
A_Walk_to_Remember
cases of the n-vector model are: n = 0 {\displaystyle n=0} : The self-avoiding walk n = 1 {\displaystyle n=1} : The Ising model n = 2 {\displaystyle n=2}
N-vector_model
2025 video game
chapters, with each telling a self-contained story revolving around the overarching themes of fire and darkness. The Midnight Walk received positive reviews
The_Midnight_Walk
Solvent property in polymer science
steric effects. Real polymer coils are more closely represented by a self-avoiding walk because conformations in which different chain segments occupy the
Theta_solvent
Lemma concerning the limit of subadditive sequences
connective constant describing the growth rate of the number of possible self-avoiding walks. Let { a n } n = 1 ∞ {\displaystyle \{a_{n}\}_{n=1}^{\infty }} be
Fekete's_lemma
large chain lengths N, the overlap concentration is very small. The self-avoiding walk previously described is changed and therefore the partition function
Path integrals in polymer science
Path_integrals_in_polymer_science
Open subset of the real–number line
function possesses many features which ought to be considered fractal such as self-similarity, and in this new sense of fractality the Cantor staircase function
Fractal_string
Intentional injury to one's body
cutting, self-abuse, self-injury, and self-mutilation have been used for any self-harming behavior regardless of suicidal intent. Common forms of self-harm
Self-harm
Dynamical study of growth of a surface
models include: KPZ equation Dimer model Eden growth model SOS model Self-avoiding walk Abelian sandpile model Kuramoto–Sivashinsky equation (or the flame
Surface_growth
1992 American film by David Lynch
Twin Peaks: Fire Walk with Me is a 1992 psychological horror film directed by David Lynch, and co-written by Lynch and Robert Engels. It serves as a prequel
Twin_Peaks:_Fire_Walk_with_Me
British–American theoretical physicist
Scaling. Elsevier 1988 Cardy Conformal Invariance in Percolation, Self-Avoiding Walks and Related Problems, 2002 Cardy Conformal field theory and statistical
John_Cardy
Periodic spatial graph
3)-a Network. Sloane, N. J. A. (ed.), "Sequence A046944 (Number of self-avoiding walks of length n on the Laves graph)", The On-Line Encyclopedia of Integer
Laves_graph
Practice of serving oneself when shopping or getting services
Saunders, the world's first self-service grocery store. Customers would pick up a wicker basket upon entering the store, and then walk through the store placing
Self-service
Principle suggesting that time travel paradoxes are inherently impossible
The Novikov self-consistency principle, also known as the Novikov self-consistency conjecture and Larry Niven's law of conservation of history, is a principle
Novikov self-consistency principle
Novikov_self-consistency_principle
Gait of locomotion among legged animals
Canada). A short urban walk, in most English-speaking countries is called a "walk". Walking is a multi-faceted human activity. Humans walk to school and to
Walking
German-born French mathematician
is a French mathematician working on random processes such as self-avoiding random walks, Brownian motion, Schramm–Loewner evolution, and related theories
Wendelin_Werner
Rajput wartime practice involving self-immolation
Juhar, was a practice of mass self-immolation by Rajput kshatriya women and girls in the Indian subcontinent to avoid capture, sex slavery, enslavement
Jauhar
Israeli mathematician (1963–2020)
introduced a diamond representation for a range of models including self-avoiding walks, Bernoulli percolation, Ising ferromagnets and polymers. He also
Dmitry_Ioffe
Removal of a lawyer from a bar association or the practice of law
to contest disbarment. He resigned before the end of the 40 days, thus avoiding disbarment. Alger Hiss was disbarred for a felony conviction but later
Disbarment
Mental state of a reduced perception of self-awareness
Self-disorder, also called ipseity disturbance (/ɪpˈsiɪti/ ip-SEE-ih-tee), is a psychological phenomenon of disruption or diminishing of a person's minimal
Self-disorder
List of statements that appear to contradict themselves
sentences are false. While constructed to avoid self-reference, there is no consensus whether it relies on self-reference or not. Opposite Day: "It is opposite
List_of_paradoxes
Machine for customers to complete a retail transaction
on the way in so they can just walk out with their selected items.[citation needed] As of April 2022, camera-based self-checkout machines are in use at
Self-checkout
Class of algorithms
visiting. This is often done via a stack (LIFO) or queue (FIFO). As a tree is a self-referential (recursively defined) data structure, traversal can be defined
Tree_traversal
Model for a random simple path
1007/s11511-007-0018-8 Lawler, Gregory F. (September 1980), "A self-avoiding random walk", Duke Mathematical Journal, 47 (3): 655–693, doi:10.1215/S0012-7094-80-04741-9
Loop-erased_random_walk
Israeli mathematician
intersects itself, are removed. This was introduced to the study of self-avoiding random walk by Gregory Lawler in 1980, but is an independent model in another
Gady_Kozma
American homicide suspect (born 1998)
public show". Some legal experts stated that the perp walk was a "blatant and unnecessary attempt at self-promotion". Policy director for the Justice Collaboratory
Luigi_Mangione
De facto administrative capital of South Korea
(Korean: 세종; Korean: [seːdʑoŋ] ), officially Sejong Special Self-Governing City (세종특별자치시), is a special self-governing city and the de facto administrative capital
Sejong_City
Feminist protest
SlutWalk is a transnational movement calling for an end to rape culture, including victim blaming and slut-shaming of sexual assault victims. Participants
SlutWalk
American businessman (born 1964)
Department. Trump has repeatedly criticized Bezos via Twitter, accused Bezos of avoiding corporate taxes, gaining undue political influence, and undermining his
Jeff_Bezos
1902 painting by German painter Lovis Corinth
The Self-Portrait with His Wife and a Glass of Champagne in the catalog raisonné (BC 234), (full: Self-portrait with Charlotte Berend and champagne goblet;
Self-Portrait with His Wife and a Glass of Champagne
Self-Portrait_with_His_Wife_and_a_Glass_of_Champagne
Swedish singer (born 1950)
albums and a leading role in a movie. She became reclusive in the 1990s, avoiding outside publicity and residing on the Stockholm County island of Ekerö
Agnetha_Fältskog
1996 American film
receive a DNA sample for testing. Karen and Mack are distraught as Doob walks free. While Mack wants to resume a normal life, Karen becomes increasingly
Eye_for_an_Eye_(1996_film)
American artist and victims' advocate
unemployment and inability to pay. Also, according to Vincent, when she walked by Singleton in the courtroom, he surreptitiously told her he would "finish
Mary_Vincent_(artist)
Park in Los Angeles, California, U.S.
Division, LAPD. Angels Walk LA (2006). "Angels Walk LA, Self-guided Historic Trails, Wilshire" (PDF). angelswalkla.org. Angels Walk LA. Retrieved 2012-04-03
Lafayette_Park_(Los_Angeles)
Quality of being humble
also refers to a proper sense of self-regard. It may be misinterpreted as the capacity to endure humiliation through self-denigration, with this misconception
Humility
Businessman and public official (born 1971)
Retrieved September 2, 2020. Higgins, Tim (August 17, 2024). "Elon Musk's Walk With Jesus". The Wall Street Journal. Archived from the original on January
Elon_Musk
2024 film by Ishana Night Shyamalan
implications would be and if I would be judged. Having something to prove when you walk into a room and a space is never a bad thing and makes you work harder and
The_Watchers_(film)
American stand-up comedian and actor (born 1964)
and two Golden Globe Awards. In 2003, he received a star on the Hollywood Walk of Fame. After several years as a stand-up comedian, Spade rose to prominence
David_Spade
First pedestrian fatality caused by self-driving car
2018) was the first recorded case of a pedestrian fatality involving a self-driving car, after a collision that occurred late in the evening of March
Death_of_Elaine_Herzberg
American musician (born 1961)
was used on the 1988 vinyl pressing of his 1987 spoken word album Short Walk on a Long Pier.[citation needed] Initially into hard rock acts like Van Halen
Henry_Rollins
Archived from the original on June 6, 2017. Retrieved June 20, 2017. They walk past a priest, doctor and gay man hanging dead from a wall in their Cambridge
List of The Handmaid's Tale episodes
List_of_The_Handmaid's_Tale_episodes
Parading an arrested criminal suspect before the media
A perp walk or walking the perp (also called a frog march in Washington, D.C.) is a practice in law enforcement of parading an arrested suspect out in
Perp_walk
16th episode of the 7th season of Star Trek: The Next Generation
"Thine Own Self" is the 168th episode of the American science fiction television series Star Trek: The Next Generation, and the 16th episode of the seventh
Thine_Own_Self
Failed coup d'état in South Korea
Time (KST), Yoon Suk Yeol, the then-president of South Korea, attempted a self-coup by declaring martial law during a televised address. In the address
2024 South Korean martial law crisis
2024_South_Korean_martial_law_crisis
Software that executes source code directly
at runtime. As this results in native code execution, it is a method of avoiding the runtime cost of using an interpreter while maintaining some of the
Interpreter_(computing)
2026 film by Lee Cronin
with an ancient language. Katie, who is in a catatonic state and habitually self-harms, is moved back home with Charlie and Larissa. The family refuses to
Lee_Cronin's_The_Mummy
1985 novel by Larry McMurtry
to write a sequel, Streets of Laredo (1993), and two prequels, Dead Man's Walk (1995) and Comanche Moon (1997), all of which were also adapted as TV series
Lonesome_Dove
English actress (born 2000)
daughter. And of course, that was my biggest fear and most important for her self esteem," she said. Threapleton later played the roles of Alma in the 2020
Mia_Threapleton
2023 Internet meme and digital artwork
11 to May 5, 2025, a Chill Guy-themed pop-up retail existed at Festival Walk shopping center in Hong Kong. The event, which claimed to be official, included
Chill_Guy
President of the United States (2017–2021; since 2025)
both pageants to NBC in 2002. In 2007, he received a star on the Hollywood Walk of Fame for his work as producer of Miss Universe. NBC and Univision dropped
Donald_Trump
2026 film by Uwe Boll
injustices" of a 2016 court case in Hamburg, from which a group of teenagers "walked free without any penalty" after they received suspended sentences for gang-raping
Citizen_Vigilante
City in California, United States
GardenWalk lifestyle center (440,000 ft2 of retail, dining and entertainment located in the Anaheim Resort). Anaheim Convention Center Anaheim GardenWalk Anaheim
Anaheim,_California
American actress (born 1949)
"Lindsay Wagner - Hollywood Star Walk - Los Angeles Times". projects.latimes.com. Retrieved July 28, 2017. Palm Springs Walk of Stars by date dedicated "Night
Lindsay_Wagner
2011 criminal case in Idaho, US
constituted a case of "self-defense". His attorneys mentioned that under Idaho Law, a homicide is justifiable if also done while avoiding "great bodily injury
State of Idaho v. Robert Dean Hall
State_of_Idaho_v._Robert_Dean_Hall
1975 studio album by Aerosmith
single, "Sweet Emotion", was released on May 19 and the original version of "Walk This Way" followed on August 28 in the same year. The album is the band's
Toys_in_the_Attic_(album)
Laura Palmer (Sheryl Lee). A feature-length prequel film, Twin Peaks: Fire Walk with Me, was released on August 28, 1992, and depicts the events leading
List_of_Twin_Peaks_episodes
Annual celebration held on 18 June
symbols, which are coloured with a gradient of red and green, intentionally avoiding the blue that was long associated with Autism Speaks. There have been a
Autistic_Pride_Day
American heavy metal band
2010. "Lam Of God Announces "Walk with Me in Hell" DVD". Myspace. May 2, 2008. Retrieved April 4, 2012. "Lamb Of God - Walk With Me In Hell [DVD]". Metalstorm
Lamb_of_God_(band)
American computer scientist (1924–1999)
S2CID 16485156. deMaine, P.A.D. (1978). "Empirical relationships for random self-avoiding walks on lattices". Computers & Chemistry. 2 (2). Elsevier BV: 53–64. doi:10
Paul_A._D._de_Maine
2023 film by Emma Seligman
"injury", Josie lies that they were practicing for a feminist "self-defense club" to avoid punishment. With the help of their friend Hazel, PJ and Josie
Bottoms_(film)
General dislike of humanity
deep flaws of humans and their tendency to cause harm as a reason for avoiding the creation of more humans. These harms include wars, genocides, factory
Misanthropy
American guitarist
Thin Lizzy, Jimmy Page, and Dickey Betts, complemented Skeoch's playing, avoiding 1980s metal clichés like excessive shredding. Tesla's 1990 live album,
Frank_Hannon
American criminal and mixed martial artist (born 1981)
sentenced to three years of probation and 30 days of community service, avoiding the possible felony charge and accompanying prison time. On February 22
War Machine (mixed martial artist)
War_Machine_(mixed_martial_artist)
2007 Indian film by Priyadarshan
four were bluffing all the time just to impress her, and so she starts avoiding them. One day Zikomo finds them and kidnaps Ritu and her grandparents.
Dhol_(film)
16th-century elevated enclosed passageway in Florence, Italy
charge on top of a Uffizi Gallery ticket. Once visitors have started to walk the Corridor, they cannot return to the Gallery. On days on which entrance
Vasari_Corridor
SELF AVOIDING-WALK
SELF AVOIDING-WALK
Girl/Female
Egyptian
Boy/Male
Welsh
peace'.
Girl/Female
British, English
Soft
Boy/Male
British, English, Nigerian, Norwegian
Rock
Male
English
(סֶלַע) Anglicized form of Hebrew Cela, SELA means "a rock." In the Old Testament bible, this is the name of the capital city of Edom, possibly an early name for Petra. In use as a unisex name.
Boy/Male
Muslim
Sword
Boy/Male
British, English, Hebrew
A Tree
Boy/Male
Indian
Sword
Biblical
a rock
Girl/Female
Hebrew Biblical
Rock.
Boy/Male
Biblical
A rock.
Boy/Male
African, Arabic, Hindu, Indian, Muslim, Sindhi, Swahili
Sword; Brave; Sword of Religion
Boy/Male
Arabic, Muslim, Sindhi
Abiding
Male
Welsh
Welsh form of Greek SolomÅn, SELYF means "peaceable."Â
Boy/Male
Muslim/Islamic
Sword
Surname or Lastname
English (East Anglia)
English (East Anglia) : from the Middle English personal name Saulf, Old English Sǣwulf, composed of the elements sǣ ‘sea’ + wulf ‘wolf’.
Surname or Lastname
English
English : from Middle English selle, a rough hut of the type normally occupied by animals, hence a topographic name for someone who lived in a hut like this. In many cases the name may have been in effect a metonymic occupational name for a herdsman.Americanized spelling of Hungarian and Hungarian Jewish Széll, a topographic name for someone who lived in a spot exposed to the wind, from Hungarian szél ‘wind’.German : variant of Selle.
Male
Yiddish
(סֶעף) Variant spelling of Yiddish Zeff, SEFF means "wolf."
Boy/Male
Muslim/Islamic
Abiding
Girl/Female
African, Australian, British, Chinese, Christian, English, French, Greek, Hawaiian, Hebrew
Saviour; Ewe of West Africa; Goddess of the Moon; Cliff; Rock
SELF AVOIDING-WALK
SELF AVOIDING-WALK
Boy/Male
Scottish American German
Welshman; stranger. Famous Bearer: Scottish hero Sir William Wallace (executed in...
Girl/Female
English
A, which is believed to have been the origin of the term 'to jilt', used when a person...
Girl/Female
Hindu
Sings with Raaga, God of Raghavendra
Girl/Female
Muslim
Star
Girl/Female
Arabic, Muslim
Fragrance
Girl/Female
Indian, Sikh
New Light of God; Light of Sun
Boy/Male
Sikh
Supreme selfless service
Boy/Male
Greek
Figure in ancient Greek mythology.
Girl/Female
Greek
Gift.
Boy/Male
Indian, Sanskrit
Wining of Something
SELF AVOIDING-WALK
SELF AVOIDING-WALK
SELF AVOIDING-WALK
SELF AVOIDING-WALK
SELF AVOIDING-WALK
n.
Self-deceit.
n.
Self-love.
n.
Self-denial; self-renunciation; self-sacrifice.
a.
Self-repelling.
n.
Control of one's self; restraint exercised over one's self; self-command.
n.
Restraint over one's self; self-control; self-command.
n.
The idolizing of one's self; immoderate self-conceit.
n.
The act of aiding one's self, without depending on the aid of others.
n.
The act of governing one's self, or the state of being governed by one's self; self-control; self-command.
n.
Self.
a.
Refusing to gratify one's self; self-sacrificing.
n.
Self-communion.
a.
Disposed to self-assertion; self-asserting.
n.
Enjoyment of one's self; self-satisfaction.
a.
Abiding the law; waiting for the operation of law for the enforcement of rights; also, abiding by the law; obedient to the law; as, law-abiding people.
n.
Self-devotion.
n.
Faith in one's self; self-reliance.
a.
Dependent on one's self; self-depending; self-reliant.
n.
The act of estimating one's self; self-esteem.
n.
Imposture practiced on one's self; self-deceit.