Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs
Blackboard - Exactly solvable random graphs

Exactly solvable random graphs

An explicit analytical solution reproduces the main features of random graph ensembles with many short cycles under strict degree constraints.

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    What the Dickens?

    Our writer Thomas W. Hodgkinson argues that Charles Dickens named his novel David Copperfield in honour of the Royal Institution.

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    Unifying mathematics

    Our new fifth research theme contains projects that explore how different branches of mathematics are intertwined, and how to unify them.

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    12 Days of Christmas

    The Institute’s Christmas card includes one side to the Möbius strip, five exceptional Lie groups and eight basis vectors of the octonians.

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    Talking to Penrose

    Sir Roger Penrose talks about physics, philosophy and art in a conversation with Thomas Fink and Yang-Hui He in the Faraday lecture theatre.

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    Science of storytelling

    Prof. Alison Woollard explores the science of storytelling and storytelling in science—a neglected virtue in modern scientific research.

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    Winter board meeting

    At its winter meeting, our Board discusses our research output, endowment with Caltech, core funding and supporting the Royal Institution.

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    Theory of Everything

    Professor Yang-Hui He tells the captivating story of the holy grail of science: the mathematical quest for a unifying theory of everything.

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    Garden of challenges

    In a video for The Garden, Yang-Hui He describes the top 23 mathematical challenges of our time, including a possible theory of everything.

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    Inaugural Junior Fellow

    Dr Forrest Sheldon is the London Institute’s inaugural Junior Fellow, setting a high standard for our new programme of Junior Fellows.

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    Measure what matters

    We benchmark the London Institute by the quality of our published research papers, which we are increasing each year by a factor of √2.

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    Our guide to journals

    Our updated handbook of physics, mathematics and general science journals is a unique guide to choosing the right home for your paper.

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    Why we must boldly go

    The human impulse to look beyond the horizon, “to boldly go where no man has gone before”, leads us to the most transformative discoveries.

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    Going, going, gone

    A solution to the information paradox uses standard quantum field theory to show that black holes can evaporate without violating the laws of physics.

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    Quick quantum neural nets

    The notion of quantum superposition speeds up the training process for binary neural networks and guarantees that their parameters are optimal.

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    Learning the universe

    Using machine learning methods to search the vast space of Calabi-Yau manifolds for ones that predict the Standard Model from string theory.

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    Cheers, Brits and Yanks

    Princeton and Caltech alumni celebrate Faraday’s birthday at the London Institute for Mathematical Sciences, inside the Royal Institution.

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    In search of serendipity

    The London Institute is hosting a lunch at the Royal Institution to promote serendipity between leaders in business, finance and physics.

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    Tumour infiltration

    A delicate interplay between the proteins that white blood cells express and the molecules on the surface of tumour cells determines cancer prognoses.

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    Beyond classical barriers

    Circuits of memristors, resistors with memory, can exhibit instabilities which allow classical tunnelling through potential energy barriers.

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    Maths and machines

    Conrad Wolfram describes how two brothers harnessed machines to do mathematics, changing the way we think about computational thinking.

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    Space-time singularities

    Sir Roger Penrose talks about space-time singularities and cyclic geometry at the Nankai Symposium, after an introduction by Yang-Hui He.

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    Autumn board meeting

    At its autumn meeting, our Board discusses our application for core funding, a new Fellow, upcoming events and planning our first endowment.

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    Calabi-Yau Landscape

    This new monograph makes cutting-edge topics in mathematical physics, geometry and machine learning accessible to graduate students and beyond.

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    Mathematical Dialogues

    Yang-Hui He co-organises the Nankai Symposium on dialogues between mathematics and physics, with the plenary talk by Sir Roger Penrose.