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Definition of the Free Energy"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254029","https://noah.nrw/i3f/v20/6245302/canvas/6254030","https://noah.nrw/i3f/v20/6245302/canvas/6254031"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254028","@type":"sc:Range","label":"3. The Screening Procedure"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254033","https://noah.nrw/i3f/v20/6245302/canvas/6254034","https://noah.nrw/i3f/v20/6245302/canvas/6254035"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254032","@type":"sc:Range","label":"4. Discrepancy Estimate, Gaps"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254037","https://noah.nrw/i3f/v20/6245302/canvas/6254038","https://noah.nrw/i3f/v20/6245302/canvas/6254039","https://noah.nrw/i3f/v20/6245302/canvas/6254040","https://noah.nrw/i3f/v20/6245302/canvas/6254041","https://noah.nrw/i3f/v20/6245302/canvas/6254042","https://noah.nrw/i3f/v20/6245302/canvas/6254043","https://noah.nrw/i3f/v20/6245302/canvas/6254044","https://noah.nrw/i3f/v20/6245302/canvas/6254045","https://noah.nrw/i3f/v20/6245302/canvas/6254046","https://noah.nrw/i3f/v20/6245302/canvas/6254047","https://noah.nrw/i3f/v20/6245302/canvas/6254048"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254036","@type":"sc:Range","label":"5. Large Box Approximation"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254050","https://noah.nrw/i3f/v20/6245302/canvas/6254051","https://noah.nrw/i3f/v20/6245302/canvas/6254052","https://noah.nrw/i3f/v20/6245302/canvas/6254053","https://noah.nrw/i3f/v20/6245302/canvas/6254054"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254049","@type":"sc:Range","label":"6. Displacement Convexity"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254056"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254055","@type":"sc:Range","label":"7. The Interpolate Process"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254058","https://noah.nrw/i3f/v20/6245302/canvas/6254059","https://noah.nrw/i3f/v20/6245302/canvas/6254060","https://noah.nrw/i3f/v20/6245302/canvas/6254061","https://noah.nrw/i3f/v20/6245302/canvas/6254062","https://noah.nrw/i3f/v20/6245302/canvas/6254063"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254057","@type":"sc:Range","label":"8. Conclusion: Proof of Theorem 1.1"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254065","https://noah.nrw/i3f/v20/6245302/canvas/6254066","https://noah.nrw/i3f/v20/6245302/canvas/6254067","https://noah.nrw/i3f/v20/6245302/canvas/6254068","https://noah.nrw/i3f/v20/6245302/canvas/6254069","https://noah.nrw/i3f/v20/6245302/canvas/6254070","https://noah.nrw/i3f/v20/6245302/canvas/6254071","https://noah.nrw/i3f/v20/6245302/canvas/6254072","https://noah.nrw/i3f/v20/6245302/canvas/6254073","https://noah.nrw/i3f/v20/6245302/canvas/6254074","https://noah.nrw/i3f/v20/6245302/canvas/6254075","https://noah.nrw/i3f/v20/6245302/canvas/6254076","https://noah.nrw/i3f/v20/6245302/canvas/6254077","https://noah.nrw/i3f/v20/6245302/canvas/6254078","https://noah.nrw/i3f/v20/6245302/canvas/6254079"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254064","@type":"sc:Range","label":"Appendix A. Miscellaneous Proofs"},{"canvases":["https://noah.nrw/i3f/v20/6245302/canvas/6254081","https://noah.nrw/i3f/v20/6245302/canvas/6254082","https://noah.nrw/i3f/v20/6245302/canvas/6254083","https://noah.nrw/i3f/v20/6245302/canvas/6254084"],"@id":"https://noah.nrw/i3f/v20/6245302/range/6254080","@type":"sc:Range","label":"Appendix B. The Screening 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