Pole dynamics and an integral of motion for multiple SLE(0)

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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Imaginary geometry. I: Interacting SLEs
Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\)
A contour line of the continuum Gaussian free field
Calogero-Sutherland model and bulk-boundary correlations in conformal field theory
Contour lines of the two-dimensional discrete Gaussian free field
Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\)
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
Pure partition functions of multiple SLEs
Catalan numbers and branched coverings by the Riemann sphere
Multiple Schramm-Loewner evolutions and statistical mechanics martingales
Euler integrals for commuting SLEs
Partition functions, loop measure, and versions of SLE
Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
Three integrable Hamiltonian systems connected with isospectral deformations
Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
Global and local multiple SLEs for \(\kappa\leq4\) and connection probabilities for level lines of GFF
Feynman's proof of the commutativity of the Calogero integrals of motion
On the smoothness of the partition function for multiple Schramm-Loewner evolutions
The energy of a deterministic Loewner chain: reversibility and interpretation via SLE\(_{0+}\)
Canonical embeddings of pairs of arcs
On the uniqueness of global multiple SLEs
Hypergeometric SLE: conformal Markov characterization and applications
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines
Equivalent descriptions of the Loewner energy
Local and global phase portrait of equation \(\dot z=f(z)\)
A solution space for a system of null-state partial differential equations. I
A solution space for a system of null-state partial differential equations. II
A solution space for a system of null-state partial differential equations. III
A solution space for a system of null-state partial differential equations. IV
SLE coordinate changes
Remarks on rational vector fields on \(\mathbb{CP}^1\)
Gaussian free field and conformal field theory
An Elementary Proof of the B. and M. Shapiro Conjecture for Rational Functions
SLE and the free field: Partition functions and couplings
Plane Autonomous Systems with Rational Vector Fields
Calogero–Sutherland eigenfunctions with mixed boundary conditions and conformal field theory correlators
Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation
Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
Conformal restriction: The chordal case
Bifurcations of meromorphic vector fields on the Riemann sphere
Soliton solutions of a Calogero model in a harmonic potential
On multiple Schramm–Loewner evolutions
Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
The Loewner differential equation and slit mappings
Commutation relations for Schramm‐Loewner evolutions
Integrals of nonlinear equations of evolution and solitary waves

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